18101400166080 has 3024 divisors, whose sum is σ = 82673210299680. Its totient is φ = 3619463823360.

The previous prime is 18101400166079. The next prime is 18101400166103. The reversal of 18101400166080 is 8066100410181.

18101400166080 is a `hidden beast` number, since 1 + 8 + 1 + 0 + 1 + 40 + 0 + 1 + 6 + 608 + 0 = 666.

It is a super-2 number, since 2×18101400166080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 65348014902 + ... + 65348015178.

It is an arithmetic number, because the mean of its divisors is an integer number (27339024570).

Almost surely, 2^{18101400166080} is an apocalyptic number.

18101400166080 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 18101400166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41336605149840).

18101400166080 is an abundant number, since it is smaller than the sum of its proper divisors (64571810133600).

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

18101400166080 is a wasteful number, since it uses less digits than its factorization.

18101400166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 18101400166080 in words is "eighteen trillion, one hundred one billion, four hundred million, one hundred sixty-six thousand, eighty".