102353582826432 has 896 divisors, whose sum is σ = 361561863290880. Its totient is φ = 27780146933760.

The previous prime is 102353582826389. The next prime is 102353582826487. The reversal of 102353582826432 is 234628285353201.

102353582826432 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 5 + 3 + 582 + 8 + 26 + 4 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4886301783 + ... + 4886322729.

It is an arithmetic number, because the mean of its divisors is an integer number (403528865280).

Almost surely, 2^{102353582826432} is an apocalyptic number.

102353582826432 is a gapful number since it is divisible by the number (12) 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 102353582826432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180780931645440).

102353582826432 is an abundant number, since it is smaller than the sum of its proper divisors (259208280464448).

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

102353582826432 is a wasteful number, since it uses less digits than its factorization.

102353582826432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21246 (or 21230 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 102353582826432 in words is "one hundred two trillion, three hundred fifty-three billion, five hundred eighty-two million, eight hundred twenty-six thousand, four hundred thirty-two".