102273207738624 has 1080 divisors, whose sum is σ = 358823594976000. Its totient is φ = 28850159370240.

The previous prime is 102273207738617. The next prime is 102273207738673. The reversal of 102273207738624 is 426837702372201.

102273207738624 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 7 + 3 + 2 + 0 + 7 + 7 + 3 + 8 + 624 = 666.

It is a super-2 number, since 2×102273207738624² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2064057402 + ... + 2064106950.

Almost surely, 2^{102273207738624} 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 102273207738624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179411797488000).

102273207738624 is an abundant number, since it is smaller than the sum of its proper divisors (256550387237376).

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

102273207738624 is a wasteful number, since it uses less digits than its factorization.

102273207738624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49653 (or 49617 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 102273207738624 in words is "one hundred two trillion, two hundred seventy-three billion, two hundred seven million, seven hundred thirty-eight thousand, six hundred twenty-four".