18981488400 has 480 divisors, whose sum is σ = 72007653120. Its totient is φ = 4183695360.

The previous prime is 18981488389. The next prime is 18981488411. The reversal of 18981488400 is 488418981.

It is an interprime number because it is at equal distance from previous prime (18981488389) and next prime (18981488411).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48795406 + ... + 48795794.

It is an arithmetic number, because the mean of its divisors is an integer number (150015944).

Almost surely, 2^18981488400 is an apocalyptic number.

18981488400 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 18981488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36003826560).

18981488400 is an abundant number, since it is smaller than the sum of its proper divisors (53026164720).

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

18981488400 is a wasteful number, since it uses less digits than its factorization.

18981488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 51.

The spelling of 18981488400 in words is "eighteen billion, nine hundred eighty-one million, four hundred eighty-eight thousand, four hundred".