368448093756 has 72 divisors (see below), whose sum is σ = 956666627280. Its totient is φ = 119479193856.

The previous prime is 368448093731. The next prime is 368448093787. The reversal of 368448093756 is 657390844863.

368448093756 is a `hidden beast` number, since 3 + 6 + 84 + 480 + 9 + 3 + 75 + 6 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 368448093693 and 368448093702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11581840 + ... + 11613608.

It is an arithmetic number, because the mean of its divisors is an integer number (13287036490).

Almost surely, 2^368448093756 is an apocalyptic number.

368448093756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

368448093756 is an abundant number, since it is smaller than the sum of its proper divisors (588218533524).

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

368448093756 is a wasteful number, since it uses less digits than its factorization.

368448093756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40523 (or 40518 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 368448093756 in words is "three hundred sixty-eight billion, four hundred forty-eight million, ninety-three thousand, seven hundred fifty-six".