18945662400 has 1344 divisors, whose sum is σ = 85145026560. Its totient is φ = 4006195200.

The previous prime is 18945662399. The next prime is 18945662423. The reversal of 18945662400 is 426654981.

18945662400 is a `hidden beast` number, since 1 + 89 + 4 + 566 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 403099177 + ... + 403099223.

Almost surely, 2^18945662400 is an apocalyptic number.

18945662400 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 18945662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42572513280).

18945662400 is an abundant number, since it is smaller than the sum of its proper divisors (66199364160).

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

18945662400 is a wasteful number, since it uses less digits than its factorization.

18945662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 18945662400 in words is "eighteen billion, nine hundred forty-five million, six hundred sixty-two thousand, four hundred".