368432824298112 has 1152 divisors, whose sum is σ = 1337359983298560. Its totient is φ = 95177917181952.

The previous prime is 368432824298107. The next prime is 368432824298117. The reversal of 368432824298112 is 211892428234863.

368432824298112 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 328 + 2 + 4 + 298 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (368432824298107) and next prime (368432824298117).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 368432824298112.

It is not an unprimeable number, because it can be changed into a prime (368432824298117) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31268162173 + ... + 31268173955.

It is an arithmetic number, because the mean of its divisors is an integer number (1160902763280).

Almost surely, 2^{368432824298112} is an apocalyptic number.

368432824298112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368432824298112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668679991649280).

368432824298112 is an abundant number, since it is smaller than the sum of its proper divisors (968927159000448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

368432824298112 is a wasteful number, since it uses less digits than its factorization.

368432824298112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12338 (or 12304 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 368432824298112 in words is "three hundred sixty-eight trillion, four hundred thirty-two billion, eight hundred twenty-four million, two hundred ninety-eight thousand, one hundred twelve".