14400364608 has 126 divisors (see below), whose sum is σ = 48015085326. Its totient is φ = 4114381824.

The previous prime is 14400364577. The next prime is 14400364619. The reversal of 14400364608 is 80646300441.

14400364608 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 0 + 3 + 646 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11705508864 + 2694855744 = 108192^2 + 51912^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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 17 ways as a sum of consecutive naturals, for example, 226885 + ... + 283332.

Almost surely, 2^14400364608 is an apocalyptic number.

14400364608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14400364608 is an abundant number, since it is smaller than the sum of its proper divisors (33614720718).

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

14400364608 is a wasteful number, since it uses less digits than its factorization.

14400364608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510249 (or 510229 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 14400364608 in words is "fourteen billion, four hundred million, three hundred sixty-four thousand, six hundred eight".