14625631400 has 96 divisors (see below), whose sum is σ = 34454268000. Its totient is φ = 5773420800.

The previous prime is 14625631373. The next prime is 14625631477. The reversal of 14625631400 is 413652641.

14625631400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 4855895 + ... + 4858905.

It is an arithmetic number, because the mean of its divisors is an integer number (358898625).

Almost surely, 2^14625631400 is an apocalyptic number.

14625631400 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 14625631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17227134000).

14625631400 is an abundant number, since it is smaller than the sum of its proper divisors (19828636600).

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

14625631400 is a wasteful number, since it uses less digits than its factorization.

14625631400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 14625631400 in words is "fourteen billion, six hundred twenty-five million, six hundred thirty-one thousand, four hundred".