161184125491200 has 3456 divisors, whose sum is σ = 721977243624000. Its totient is φ = 35536553902080.

The previous prime is 161184125491199. The next prime is 161184125491211. The reversal of 161184125491200 is 2194521481161.

161184125491200 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 84 + 1 + 2 + 549 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 159115621894 + ... + 159115622906.

Almost surely, 2^{161184125491200} is an apocalyptic number.

161184125491200 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 161184125491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360988621812000).

161184125491200 is an abundant number, since it is smaller than the sum of its proper divisors (560793118132800).

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

161184125491200 is an equidigital number, since it uses as much as digits as its factorization.

161184125491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 161184125491200 in words is "one hundred sixty-one trillion, one hundred eighty-four billion, one hundred twenty-five million, four hundred ninety-one thousand, two hundred".