14087790864 has 315 divisors, whose sum is σ = 47910528117. Its totient is φ = 3999445632.

The previous prime is 14087790853. The next prime is 14087790917. The reversal of 14087790864 is 46809778041.

It is a happy number.

The square root of 14087790864 is 118692.

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

14087790864 is a `hidden beast` number, since 1 + 408 + 77 + 90 + 86 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4129347600 + 9958443264 = 64260^2 + 99792^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 14087790864.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 89731074 + ... + 89731230.

Almost surely, 2^14087790864 is an apocalyptic number.

14087790864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14087790864 is the 118692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14087790864

14087790864 is an abundant number, since it is smaller than the sum of its proper divisors (33822737253).

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

14087790864 is an frugal number, since it uses more digits than its factorization.

14087790864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 14087790864 in words is "fourteen billion, eighty-seven million, seven hundred ninety thousand, eight hundred sixty-four".