161412972502320 has 1920 divisors, whose sum is σ = 708939859230720. Its totient is φ = 31934601216000.

The previous prime is 161412972502307. The next prime is 161412972502343. The reversal of 161412972502320 is 23205279214161.

161412972502320 is a `hidden beast` number, since 1 + 6 + 1 + 41 + 2 + 9 + 72 + 502 + 32 + 0 = 666.

161412972502320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 75532508292 + ... + 75532510428.

It is an arithmetic number, because the mean of its divisors is an integer number (369239510016).

Almost surely, 2^{161412972502320} is an apocalyptic number.

161412972502320 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 161412972502320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354469929615360).

161412972502320 is an abundant number, since it is smaller than the sum of its proper divisors (547526886728400).

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

161412972502320 is a wasteful number, since it uses less digits than its factorization.

161412972502320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 161412972502320 in words is "one hundred sixty-one trillion, four hundred twelve billion, nine hundred seventy-two million, five hundred two thousand, three hundred twenty".