18982118400 has 1056 divisors, whose sum is σ = 79535480832. Its totient is φ = 3892838400.

The previous prime is 18982118347. The next prime is 18982118401. The reversal of 18982118400 is 481128981.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (18982118401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283315167 + ... + 283315233.

Almost surely, 2^18982118400 is an apocalyptic number.

18982118400 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 18982118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39767740416).

18982118400 is an abundant number, since it is smaller than the sum of its proper divisors (60553362432).

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

18982118400 is a wasteful number, since it uses less digits than its factorization.

18982118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The spelling of 18982118400 in words is "eighteen billion, nine hundred eighty-two million, one hundred eighteen thousand, four hundred".