18103694400 has 1176 divisors, whose sum is σ = 78076190304. Its totient is φ = 4080844800.

The previous prime is 18103694377. The next prime is 18103694449. The reversal of 18103694400 is 449630181.

18103694400 is a `hidden beast` number, since 181 + 0 + 36 + 9 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 218116759 + ... + 218116841.

Almost surely, 2^18103694400 is an apocalyptic number.

18103694400 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 18103694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39038095152).

18103694400 is an abundant number, since it is smaller than the sum of its proper divisors (59972495904).

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

18103694400 is a wasteful number, since it uses less digits than its factorization.

18103694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 18103694400 in words is "eighteen billion, one hundred three million, six hundred ninety-four thousand, four hundred".