14307987456 has 351 divisors, whose sum is σ = 48623012841. Its totient is φ = 4042063872.

The previous prime is 14307987451. The next prime is 14307987461. The reversal of 14307987456 is 65478970341.

The square root of 14307987456 is 119616.

It is a perfect power (a square), and thus also a powerful number.

14307987456 is a `hidden beast` number, since 1 + 43 + 0 + 79 + 87 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (14307987451) and next prime (14307987461).

It can be written as a sum of positive squares in only one way, i.e., 2747437056 + 11560550400 = 52416^2 + 107520^2 .

It is not an unprimeable number, because it can be changed into a prime (14307987451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 160763860 + ... + 160763948.

Almost surely, 2^14307987456 is an apocalyptic number.

14307987456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14307987456 is the 119616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14307987456

14307987456 is an abundant number, since it is smaller than the sum of its proper divisors (34315025385).

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

14307987456 is an frugal number, since it uses more digits than its factorization.

14307987456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 14307987456 in words is "fourteen billion, three hundred seven million, nine hundred eighty-seven thousand, four hundred fifty-six".