14625125088 has 192 divisors, whose sum is σ = 45153884160. Its totient is φ = 4057804800.

The previous prime is 14625125077. The next prime is 14625125093. The reversal of 14625125088 is 88052152641.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 6583818 + ... + 6586038.

It is an arithmetic number, because the mean of its divisors is an integer number (235176480).

Almost surely, 2^14625125088 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 14625125088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22576942080).

14625125088 is an abundant number, since it is smaller than the sum of its proper divisors (30528759072).

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

14625125088 is a wasteful number, since it uses less digits than its factorization.

14625125088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 14625125088 in words is "fourteen billion, six hundred twenty-five million, one hundred twenty-five thousand, eighty-eight".