14864486400 has 351 divisors, whose sum is σ = 53663918061. Its totient is φ = 3932651520.

The previous prime is 14864486387. The next prime is 14864486419. The reversal of 14864486400 is 468446841.

The square root of 14864486400 is 121920.

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

14864486400 is a `hidden beast` number, since 148 + 6 + 448 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5351215104 + 9513271296 = 73152^2 + 97536^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 117043137 + ... + 117043263.

Almost surely, 2^14864486400 is an apocalyptic number.

14864486400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14864486400 is the 121920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14864486400

14864486400 is an abundant number, since it is smaller than the sum of its proper divisors (38799431661).

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

14864486400 is an equidigital number, since it uses as much as digits as its factorization.

14864486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

It can be divided in two parts, 14864 and 486400, that added together give a square (501264 = 708²).

The spelling of 14864486400 in words is "fourteen billion, eight hundred sixty-four million, four hundred eighty-six thousand, four hundred".