18672214055040 has 4608 divisors, whose sum is σ = 90505058918400. Its totient is φ = 3602816630784.

The previous prime is 18672214054981. The next prime is 18672214055069. The reversal of 18672214055040 is 4055041227681.

18672214055040 is a `hidden beast` number, since 1 + 8 + 6 + 72 + 21 + 4 + 0 + 550 + 4 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 147025307457 + ... + 147025307583.

It is an arithmetic number, because the mean of its divisors is an integer number (19640854800).

Almost surely, 2^{18672214055040} is an apocalyptic number.

18672214055040 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 18672214055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45252529459200).

18672214055040 is an abundant number, since it is smaller than the sum of its proper divisors (71832844863360).

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

18672214055040 is a wasteful number, since it uses less digits than its factorization.

18672214055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 18672214055040 in words is "eighteen trillion, six hundred seventy-two billion, two hundred fourteen million, fifty-five thousand, forty".