161182344960 has 1152 divisors, whose sum is σ = 717991464960. Its totient is φ = 33331544064.

The previous prime is 161182344949. The next prime is 161182344997. The reversal of 161182344960 is 69443281161.

161182344960 is a `hidden beast` number, since 1 + 611 + 8 + 23 + 4 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166682397 + ... + 166683363.

It is an arithmetic number, because the mean of its divisors is an integer number (623256480).

Almost surely, 2^161182344960 is an apocalyptic number.

161182344960 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 161182344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358995732480).

161182344960 is an abundant number, since it is smaller than the sum of its proper divisors (556809120000).

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

161182344960 is a wasteful number, since it uses less digits than its factorization.

161182344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 161182344960 in words is "one hundred sixty-one billion, one hundred eighty-two million, three hundred forty-four thousand, nine hundred sixty".