14751313920 has 832 divisors, whose sum is σ = 62151997440. Its totient is φ = 3248750592.

The previous prime is 14751313903. The next prime is 14751313937. The reversal of 14751313920 is 2931315741.

14751313920 is a `hidden beast` number, since 1 + 4 + 7 + 513 + 139 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14751313903) and next prime (14751313937).

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 63 ways as a sum of consecutive naturals, for example, 143216589 + ... + 143216691.

It is an arithmetic number, because the mean of its divisors is an integer number (74701920).

Almost surely, 2^14751313920 is an apocalyptic number.

14751313920 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 14751313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31075998720).

14751313920 is an abundant number, since it is smaller than the sum of its proper divisors (47400683520).

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

14751313920 is a wasteful number, since it uses less digits than its factorization.

14751313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 14751313920 in words is "fourteen billion, seven hundred fifty-one million, three hundred thirteen thousand, nine hundred twenty".