368113764675888 has 5120 divisors, whose sum is σ = 1555100467200000. Its totient is φ = 82148774400000.

The previous prime is 368113764675887. The next prime is 368113764675893. The reversal of 368113764675888 is 888576467311863.

368113764675888 is a `hidden beast` number, since 3 + 6 + 8 + 1 + 1 + 3 + 76 + 467 + 5 + 8 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (368113764675883) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 1466588703763 + ... + 1466588704013.

It is an arithmetic number, because the mean of its divisors is an integer number (303730560000).

Almost surely, 2^{368113764675888} is an apocalyptic number.

368113764675888 is a gapful number since it is divisible by the number (38) 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 368113764675888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777550233600000).

368113764675888 is an abundant number, since it is smaller than the sum of its proper divisors (1186986702524112).

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

368113764675888 is a wasteful number, since it uses less digits than its factorization.

368113764675888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 416 counting only the distinct ones).

The product of its digits is 7803371520, while the sum is 81.

The spelling of 368113764675888 in words is "three hundred sixty-eight trillion, one hundred thirteen billion, seven hundred sixty-four million, six hundred seventy-five thousand, eight hundred eighty-eight".