102117886625664 has 1152 divisors, whose sum is σ = 385519539113280. Its totient is φ = 25316791418880.

The previous prime is 102117886625633. The next prime is 102117886625683. The reversal of 102117886625664 is 466526688711201.

102117886625664 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 7 + 8 + 8 + 6 + 62 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23098366174 + ... + 23098370594.

Almost surely, 2^{102117886625664} is an apocalyptic number.

102117886625664 is a gapful number since it is divisible by the number (14) 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 102117886625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192759769556640).

102117886625664 is an abundant number, since it is smaller than the sum of its proper divisors (283401652487616).

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

102117886625664 is a wasteful number, since it uses less digits than its factorization.

102117886625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 102117886625664 in words is "one hundred two trillion, one hundred seventeen billion, eight hundred eighty-six million, six hundred twenty-five thousand, six hundred sixty-four".