368682361344 has 240 divisors, whose sum is σ = 1199561452320. Its totient is φ = 111721420800.

The previous prime is 368682361321. The next prime is 368682361349. The reversal of 368682361344 is 443163286863.

368682361344 is a `hidden beast` number, since 3 + 6 + 8 + 68 + 236 + 1 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (368682361349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1562499 + ... + 1782909.

It is an arithmetic number, because the mean of its divisors is an integer number (4998172718).

Almost surely, 2^368682361344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368682361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599780726160).

368682361344 is an abundant number, since it is smaller than the sum of its proper divisors (830879090976).

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

368682361344 is a wasteful number, since it uses less digits than its factorization.

368682361344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220460 (or 220427 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 368682361344 in words is "three hundred sixty-eight billion, six hundred eighty-two million, three hundred sixty-one thousand, three hundred forty-four".