161521086423312 has 240 divisors, whose sum is σ = 563769055554432. Its totient is φ = 41939138119680.

The previous prime is 161521086423293. The next prime is 161521086423443. The reversal of 161521086423312 is 213324680125161.

161521086423312 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 210 + 8 + 6 + 423 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×161521086423312² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29846748 + ... + 34840644.

Almost surely, 2^{161521086423312} is an apocalyptic number.

161521086423312 is a gapful number since it is divisible by the number (12) 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 161521086423312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281884527777216).

161521086423312 is an abundant number, since it is smaller than the sum of its proper divisors (402247969131120).

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

161521086423312 is a wasteful number, since it uses less digits than its factorization.

161521086423312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996846 (or 4996837 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 161521086423312 in words is "one hundred sixty-one trillion, five hundred twenty-one billion, eighty-six million, four hundred twenty-three thousand, three hundred twelve".