18518813082000 has 3600 divisors, whose sum is σ = 89453537357184. Its totient is φ = 3613953024000.

The previous prime is 18518813081981. The next prime is 18518813082019. The reversal of 18518813082000 is 28031881581.

18518813082000 is a `hidden beast` number, since 1 + 8 + 518 + 81 + 30 + 8 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18518813081981) and next prime (18518813082019).

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 39654845767 + ... + 39654846233.

Almost surely, 2^{18518813082000} is an apocalyptic number.

18518813082000 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 18518813082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44726768678592).

18518813082000 is an abundant number, since it is smaller than the sum of its proper divisors (70934724275184).

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

18518813082000 is a wasteful number, since it uses less digits than its factorization.

18518813082000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 18518813082000 in words is "eighteen trillion, five hundred eighteen billion, eight hundred thirteen million, eighty-two thousand".