368509111296480 has 3456 divisors, whose sum is σ = 1681826158172160. Its totient is φ = 71355143946240.

The previous prime is 368509111296371. The next prime is 368509111296497. The reversal of 368509111296480 is 84692111905863.

368509111296480 is a `hidden beast` number, since 3 + 6 + 8 + 50 + 9 + 1 + 1 + 12 + 96 + 480 = 666.

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

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 575 ways as a sum of consecutive naturals, for example, 381084912957 + ... + 381084913923.

It is an arithmetic number, because the mean of its divisors is an integer number (486639513360).

Almost surely, 2^{368509111296480} is an apocalyptic number.

368509111296480 is a gapful number since it is divisible by the number (30) 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 368509111296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840913079086080).

368509111296480 is an abundant number, since it is smaller than the sum of its proper divisors (1313317046875680).

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

368509111296480 is a wasteful number, since it uses less digits than its factorization.

368509111296480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 368509111296480 in words is "three hundred sixty-eight trillion, five hundred nine billion, one hundred eleven million, two hundred ninety-six thousand, four hundred eighty".