368345468509632 has 280 divisors, whose sum is σ = 1139407421460000. Its totient is φ = 117439099582464.

The previous prime is 368345468509619. The next prime is 368345468509633. The reversal of 368345468509632 is 236905864543863.

368345468509632 is a `hidden beast` number, since 3 + 6 + 8 + 3 + 4 + 54 + 6 + 8 + 509 + 63 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368345468509633) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5049319494 + ... + 5049392442.

It is an arithmetic number, because the mean of its divisors is an integer number (4069312219500).

Almost surely, 2^{368345468509632} is an apocalyptic number.

368345468509632 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 368345468509632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569703710730000).

368345468509632 is an abundant number, since it is smaller than the sum of its proper divisors (771061952950368).

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

368345468509632 is a wasteful number, since it uses less digits than its factorization.

368345468509632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115345 (or 115326 counting only the distinct ones).

The product of its (nonzero) digits is 2687385600, while the sum is 72.

The spelling of 368345468509632 in words is "three hundred sixty-eight trillion, three hundred forty-five billion, four hundred sixty-eight million, five hundred nine thousand, six hundred thirty-two".