18942984000 has 1120 divisors, whose sum is σ = 77325760512. Its totient is φ = 4561920000.

The previous prime is 18942983971. The next prime is 18942984007. The reversal of 18942984000 is 48924981.

18942984000 is a `hidden beast` number, since 189 + 429 + 8 + 40 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18942984007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 462023980 + ... + 462024020.

Almost surely, 2^18942984000 is an apocalyptic number.

18942984000 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 18942984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38662880256).

18942984000 is an abundant number, since it is smaller than the sum of its proper divisors (58382776512).

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

18942984000 is a wasteful number, since it uses less digits than its factorization.

18942984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 18942984000 in words is "eighteen billion, nine hundred forty-two million, nine hundred eighty-four thousand".