368516943347712 has 1024 divisors, whose sum is σ = 1102101319065600. Its totient is φ = 109066290462720.

The previous prime is 368516943347689. The next prime is 368516943347743. The reversal of 368516943347712 is 217743349615863.

It is a tau number, because it is divible by the number of its divisors (1024).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235173543153 + ... + 235173544719.

It is an arithmetic number, because the mean of its divisors is an integer number (1076270819400).

Almost surely, 2^{368516943347712} is an apocalyptic number.

368516943347712 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 368516943347712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551050659532800).

368516943347712 is an abundant number, since it is smaller than the sum of its proper divisors (733584375717888).

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

368516943347712 is a wasteful number, since it uses less digits than its factorization.

368516943347712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1752 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 69.

The spelling of 368516943347712 in words is "three hundred sixty-eight trillion, five hundred sixteen billion, nine hundred forty-three million, three hundred forty-seven thousand, seven hundred twelve".