161117434800 has 960 divisors, whose sum is σ = 677528064000. Its totient is φ = 35604541440.

The previous prime is 161117434799. The next prime is 161117434823. The reversal of 161117434800 is 8434711161.

161117434800 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 174 + 3 + 480 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 316536946 + ... + 316537454.

It is an arithmetic number, because the mean of its divisors is an integer number (705758400).

Almost surely, 2^161117434800 is an apocalyptic number.

161117434800 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 161117434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338764032000).

161117434800 is an abundant number, since it is smaller than the sum of its proper divisors (516410629200).

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

161117434800 is a wasteful number, since it uses less digits than its factorization.

161117434800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 161117434800 in words is "one hundred sixty-one billion, one hundred seventeen million, four hundred thirty-four thousand, eight hundred".