18354914400 has 72 divisors (see below), whose sum is σ = 59745254184. Its totient is φ = 4894643200.

The previous prime is 18354914393. The next prime is 18354914419. The reversal of 18354914400 is 441945381.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3821541 + ... + 3826340.

It is an arithmetic number, because the mean of its divisors is an integer number (829795197).

Almost surely, 2^18354914400 is an apocalyptic number.

18354914400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18354914400 is an abundant number, since it is smaller than the sum of its proper divisors (41390339784).

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

18354914400 is a wasteful number, since it uses less digits than its factorization.

18354914400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7647904 (or 7647891 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 18354914400 in words is "eighteen billion, three hundred fifty-four million, nine hundred fourteen thousand, four hundred".