18132616414080 has 768 divisors, whose sum is σ = 75371019609600. Its totient is φ = 3924080640000.

The previous prime is 18132616414063. The next prime is 18132616414091. The reversal of 18132616414080 is 8041461623181.

18132616414080 is a `hidden beast` number, since 1 + 8 + 13 + 2 + 616 + 4 + 14 + 0 + 8 + 0 = 666.

It is a Cunningham number, because it is equal to 4258241²-1.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1456311855 + ... + 1456324305.

It is an arithmetic number, because the mean of its divisors is an integer number (98139348450).

Almost surely, 2^{18132616414080} is an apocalyptic number.

18132616414080 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 18132616414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37685509804800).

18132616414080 is an abundant number, since it is smaller than the sum of its proper divisors (57238403195520).

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

18132616414080 is a wasteful number, since it uses less digits than its factorization.

18132616414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14403 (or 14388 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 18132616414080 in words is "eighteen trillion, one hundred thirty-two billion, six hundred sixteen million, four hundred fourteen thousand, eighty".