14834534400 has 1080 divisors, whose sum is σ = 64789935210. Its totient is φ = 3344302080.

The previous prime is 14834534389. The next prime is 14834534419. The reversal of 14834534400 is 443543841.

14834534400 is a `hidden beast` number, since 1 + 4 + 83 + 4 + 534 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11416495104 + 3418039296 = 106848^2 + 58464^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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 (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 203212764 + ... + 203212836.

Almost surely, 2^14834534400 is an apocalyptic number.

14834534400 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 14834534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32394967605).

14834534400 is an abundant number, since it is smaller than the sum of its proper divisors (49955400810).

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

14834534400 is an equidigital number, since it uses as much as digits as its factorization.

14834534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 14834534400 in words is "fourteen billion, eight hundred thirty-four million, five hundred thirty-four thousand, four hundred".