14625285120 has 264 divisors, whose sum is σ = 50862562296. Its totient is φ = 3885760512.

The previous prime is 14625285119. The next prime is 14625285139. The reversal of 14625285120 is 2158252641.

14625285120 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 528 + 5 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2415919104 + 12209366016 = 49152^2 + 110496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19952274 + ... + 19953006.

Almost surely, 2^14625285120 is an apocalyptic number.

14625285120 is a gapful number since it is divisible by the number (10) 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 14625285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25431281148).

14625285120 is an abundant number, since it is smaller than the sum of its proper divisors (36237277176).

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

14625285120 is a wasteful number, since it uses less digits than its factorization.

14625285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 14625285120 in words is "fourteen billion, six hundred twenty-five million, two hundred eighty-five thousand, one hundred twenty".