18616822400 has 384 divisors, whose sum is σ = 54215904960. Its totient is φ = 6240665600.

The previous prime is 18616822381. The next prime is 18616822439. The reversal of 18616822400 is 422861681.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31714907 + ... + 31715493.

Almost surely, 2^18616822400 is an apocalyptic number.

18616822400 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 18616822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27107952480).

18616822400 is an abundant number, since it is smaller than the sum of its proper divisors (35599082560).

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

18616822400 is a wasteful number, since it uses less digits than its factorization.

18616822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 18616822400 in words is "eighteen billion, six hundred sixteen million, eight hundred twenty-two thousand, four hundred".