102023490570624 has 640 divisors, whose sum is σ = 370777208788800. Its totient is φ = 27183156166656.

The previous prime is 102023490570613. The next prime is 102023490570649. The reversal of 102023490570624 is 426075094320201.

102023490570624 is a `hidden beast` number, since 1 + 0 + 20 + 2 + 34 + 9 + 0 + 570 + 6 + 24 = 666.

It is a super-2 number, since 2×102023490570624² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102023490570624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 134104012 + ... + 134862644.

Almost surely, 2^{102023490570624} is an apocalyptic number.

102023490570624 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 102023490570624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185388604394400).

102023490570624 is an abundant number, since it is smaller than the sum of its proper divisors (268753718218176).

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

102023490570624 is a wasteful number, since it uses less digits than its factorization.

102023490570624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758792 (or 758771 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 102023490570624 in words is "one hundred two trillion, twenty-three billion, four hundred ninety million, five hundred seventy thousand, six hundred twenty-four".