14313728520 has 384 divisors, whose sum is σ = 57429066240. Its totient is φ = 3010867200.

The previous prime is 14313728509. The next prime is 14313728531. The reversal of 14313728520 is 2582731341.

It is an interprime number because it is at equal distance from previous prime (14313728509) and next prime (14313728531).

It is a super-2 number, since 2×14313728520² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19688397 + ... + 19689123.

It is an arithmetic number, because the mean of its divisors is an integer number (149554860).

Almost surely, 2^14313728520 is an apocalyptic number.

14313728520 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 14313728520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28714533120).

14313728520 is an abundant number, since it is smaller than the sum of its proper divisors (43115337720).

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

14313728520 is a wasteful number, since it uses less digits than its factorization.

14313728520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 14313728520 in words is "fourteen billion, three hundred thirteen million, seven hundred twenty-eight thousand, five hundred twenty".