161162172864 has 756 divisors, whose sum is σ = 605585320704. Its totient is φ = 40803840000.

The previous prime is 161162172841. The next prime is 161162172877. The reversal of 161162172864 is 468271261161.

161162172864 is a `hidden beast` number, since 1 + 6 + 11 + 621 + 7 + 2 + 8 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 140018689 + ... + 140019839.

It is an arithmetic number, because the mean of its divisors is an integer number (801038784).

Almost surely, 2^161162172864 is an apocalyptic number.

161162172864 is a gapful number since it is divisible by the number (14) 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 161162172864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302792660352).

161162172864 is an abundant number, since it is smaller than the sum of its proper divisors (444423147840).

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

161162172864 is a wasteful number, since it uses less digits than its factorization.

161162172864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1215 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 161162172864 in words is "one hundred sixty-one billion, one hundred sixty-two million, one hundred seventy-two thousand, eight hundred sixty-four".