161590361184 has 192 divisors, whose sum is σ = 540874414080. Its totient is φ = 45976688640.

The previous prime is 161590361147. The next prime is 161590361201. The reversal of 161590361184 is 481163095161.

161590361184 is a `hidden beast` number, since 1 + 61 + 59 + 0 + 361 + 184 = 666.

It is a super-2 number, since 2×161590361184² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402137 + ... + 1512999.

It is an arithmetic number, because the mean of its divisors is an integer number (2817054240).

Almost surely, 2^161590361184 is an apocalyptic number.

161590361184 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 161590361184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270437207040).

161590361184 is an abundant number, since it is smaller than the sum of its proper divisors (379284052896).

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

161590361184 is a wasteful number, since it uses less digits than its factorization.

161590361184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111130 (or 111116 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 161590361184 in words is "one hundred sixty-one billion, five hundred ninety million, three hundred sixty-one thousand, one hundred eighty-four".