102231816355968 has 768 divisors, whose sum is σ = 314807316480000. Its totient is φ = 29294321172480.

The previous prime is 102231816355871. The next prime is 102231816356009. The reversal of 102231816355968 is 869553618132201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33529620108 + ... + 33529623156.

It is an arithmetic number, because the mean of its divisors is an integer number (409905360000).

Almost surely, 2^{102231816355968} 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 102231816355968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157403658240000).

102231816355968 is an abundant number, since it is smaller than the sum of its proper divisors (212575500124032).

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

102231816355968 is a wasteful number, since it uses less digits than its factorization.

102231816355968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 60.

The spelling of 102231816355968 in words is "one hundred two trillion, two hundred thirty-one billion, eight hundred sixteen million, three hundred fifty-five thousand, nine hundred sixty-eight".