161005273344 has 180 divisors, whose sum is σ = 508330211004. Its totient is φ = 50511347712.

The previous prime is 161005273277. The next prime is 161005273411. The reversal of 161005273344 is 443372500161.

161005273344 is a `hidden beast` number, since 1 + 61 + 0 + 0 + 527 + 33 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (161005273277) and next prime (161005273411).

It can be written as a sum of positive squares in 2 ways, for example, as 65331360000 + 95673913344 = 255600^2 + 309312^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 161005273299 and 161005273308.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 124144 + ... + 580880.

Almost surely, 2^161005273344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161005273344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254165105502).

161005273344 is an abundant number, since it is smaller than the sum of its proper divisors (347324937660).

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

161005273344 is an equidigital number, since it uses as much as digits as its factorization.

161005273344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456782 (or 456759 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 161005273344 in words is "one hundred sixty-one billion, five million, two hundred seventy-three thousand, three hundred forty-four".