23534625626512 has 320 divisors, whose sum is σ = 65466192895488. Its totient is φ = 7887237120000.

The previous prime is 23534625626507. The next prime is 23534625626531. The reversal of 23534625626512 is 21562652643532.

It is a super-2 number, since 2×23534625626512² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 23534625626512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27071562 + ... + 27927382.

Almost surely, 2^{23534625626512} is an apocalyptic number.

23534625626512 is a gapful number since it is divisible by the number (22) 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 23534625626512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32733096447744).

23534625626512 is an abundant number, since it is smaller than the sum of its proper divisors (41931567268976).

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

23534625626512 is a wasteful number, since it uses less digits than its factorization.

23534625626512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855978 (or 855972 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 52.

The spelling of 23534625626512 in words is "twenty-three trillion, five hundred thirty-four billion, six hundred twenty-five million, six hundred twenty-six thousand, five hundred twelve".