20125114462464 has 432 divisors, whose sum is σ = 63044379229440. Its totient is φ = 5636553523200.

The previous prime is 20125114462447. The next prime is 20125114462471. The reversal of 20125114462464 is 46426441152102.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 269783379 + ... + 269857965.

Almost surely, 2^{20125114462464} is an apocalyptic number.

20125114462464 is a gapful number since it is divisible by the number (24) 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 20125114462464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31522189614720).

20125114462464 is an abundant number, since it is smaller than the sum of its proper divisors (42919264766976).

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

20125114462464 is a wasteful number, since it uses less digits than its factorization.

20125114462464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74718 (or 74663 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 20125114462464 in words is "twenty trillion, one hundred twenty-five billion, one hundred fourteen million, four hundred sixty-two thousand, four hundred sixty-four".