18486921600 has 960 divisors, whose sum is σ = 81540138240. Its totient is φ = 4032737280.

The previous prime is 18486921599. The next prime is 18486921617. The reversal of 18486921600 is 612968481.

18486921600 is a `hidden beast` number, since 1 + 8 + 486 + 9 + 2 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41730979 + ... + 41731421.

It is an arithmetic number, because the mean of its divisors is an integer number (84937644).

Almost surely, 2^18486921600 is an apocalyptic number.

18486921600 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 18486921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40770069120).

18486921600 is an abundant number, since it is smaller than the sum of its proper divisors (63053216640).

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

18486921600 is a wasteful number, since it uses less digits than its factorization.

18486921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 483 counting only the distinct ones).

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

The spelling of 18486921600 in words is "eighteen billion, four hundred eighty-six million, nine hundred twenty-one thousand, six hundred".