161001383122152 has 96 divisors (see below), whose sum is σ = 438772971873600. Its totient is φ = 53331598824192.

The previous prime is 161001383122141. The next prime is 161001383122249. The reversal of 161001383122152 is 251221383100161.

161001383122152 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 0 + 1 + 383 + 1 + 221 + 52 = 666.

It is a super-2 number, since 2×161001383122152² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43542123 + ... + 47094789.

It is an arithmetic number, because the mean of its divisors is an integer number (4570551790350).

Almost surely, 2^{161001383122152} is an apocalyptic number.

161001383122152 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 161001383122152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219386485936800).

161001383122152 is an abundant number, since it is smaller than the sum of its proper divisors (277771588751448).

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

161001383122152 is a wasteful number, since it uses less digits than its factorization.

161001383122152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556615 (or 3556608 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 161001383122152 in words is "one hundred sixty-one trillion, one billion, three hundred eighty-three million, one hundred twenty-two thousand, one hundred fifty-two".