102233577864 has 256 divisors, whose sum is σ = 301523834880. Its totient is φ = 28569784320.

The previous prime is 102233577847. The next prime is 102233577877. The reversal of 102233577864 is 468775332201.

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, 25385019 + ... + 25389045.

It is an arithmetic number, because the mean of its divisors is an integer number (1177827480).

Almost surely, 2^102233577864 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 102233577864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150761917440).

102233577864 is an abundant number, since it is smaller than the sum of its proper divisors (199290257016).

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

102233577864 is a wasteful number, since it uses less digits than its factorization.

102233577864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 102233577864 in words is "one hundred two billion, two hundred thirty-three million, five hundred seventy-seven thousand, eight hundred sixty-four".