14625351120 has 160 divisors (see below), whose sum is σ = 48066923520. Its totient is φ = 3672207360.

The previous prime is 14625351077. The next prime is 14625351127. The reversal of 14625351120 is 2115352641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14625351127) by changing a digit.

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, 248716 + ... + 301844.

It is an arithmetic number, because the mean of its divisors is an integer number (300418272).

Almost surely, 2^14625351120 is an apocalyptic number.

14625351120 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 14625351120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24033461760).

14625351120 is an abundant number, since it is smaller than the sum of its proper divisors (33441572400).

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

14625351120 is a wasteful number, since it uses less digits than its factorization.

14625351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53213 (or 53207 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 14625351120 in words is "fourteen billion, six hundred twenty-five million, three hundred fifty-one thousand, one hundred twenty".