102922049664 has 192 divisors, whose sum is σ = 339112088640. Its totient is φ = 29351282688.

The previous prime is 102922049663. The next prime is 102922049683. The reversal of 102922049664 is 466940229201.

102922049664 is a `hidden beast` number, since 10 + 2 + 92 + 2 + 0 + 496 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (102922049663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4399342 + ... + 4422674.

It is an arithmetic number, because the mean of its divisors is an integer number (1766208795).

Almost surely, 2^102922049664 is an apocalyptic number.

102922049664 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 102922049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169556044320).

102922049664 is an abundant number, since it is smaller than the sum of its proper divisors (236190038976).

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

102922049664 is a wasteful number, since it uses less digits than its factorization.

102922049664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23907 (or 23892 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 102922049664 in words is "one hundred two billion, nine hundred twenty-two million, forty-nine thousand, six hundred sixty-four".