18814256400 has 60 divisors (see below), whose sum is σ = 60268338512. Its totient is φ = 5017134720.

The previous prime is 18814256389. The next prime is 18814256401. The reversal of 18814256400 is 465241881.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (18814256401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7838074 + ... + 7840473.

Almost surely, 2^18814256400 is an apocalyptic number.

18814256400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18814256400 is an abundant number, since it is smaller than the sum of its proper divisors (41454082112).

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

18814256400 is a wasteful number, since it uses less digits than its factorization.

18814256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15678568 (or 15678557 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 18814256400 in words is "eighteen billion, eight hundred fourteen million, two hundred fifty-six thousand, four hundred".