102568475197344 has 384 divisors, whose sum is σ = 294013137180672. Its totient is φ = 31121582469120.

The previous prime is 102568475197303. The next prime is 102568475197429. The reversal of 102568475197344 is 443791574865201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14722039749 + ... + 14722046715.

It is an arithmetic number, because the mean of its divisors is an integer number (765659211408).

It is a 1-persistent number, because it is pandigital, but 2⋅102568475197344 = 205136950394688 is not.

Almost surely, 2^{102568475197344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102568475197344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147006568590336).

102568475197344 is an abundant number, since it is smaller than the sum of its proper divisors (191444661983328).

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

102568475197344 is a wasteful number, since it uses less digits than its factorization.

102568475197344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7708 (or 7700 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 102568475197344 in words is "one hundred two trillion, five hundred sixty-eight billion, four hundred seventy-five million, one hundred ninety-seven thousand, three hundred forty-four".