14353956864 has 315 divisors, whose sum is σ = 46437214593. Its totient is φ = 4416602112.

The previous prime is 14353956821. The next prime is 14353956913. The reversal of 14353956864 is 46865935341.

The square root of 14353956864 is 119808.

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

14353956864 is a `hidden beast` number, since 1 + 43 + 5 + 39 + 568 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2123366400 + 12230590464 = 46080^2 + 110592^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (9331200) is a multiple of the sum of its prime divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 14353956864.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1104150522 + ... + 1104150534.

Almost surely, 2^14353956864 is an apocalyptic number.

14353956864 is the 119808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14353956864

14353956864 is an abundant number, since it is smaller than the sum of its proper divisors (32083257729).

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

14353956864 is an frugal number, since it uses more digits than its factorization.

14353956864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 18 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 14353956864 in words is "fourteen billion, three hundred fifty-three million, nine hundred fifty-six thousand, eight hundred sixty-four".