161340014592 has 300 divisors, whose sum is σ = 490161159796. Its totient is φ = 52871823360.

The previous prime is 161340014567. The next prime is 161340014599. The reversal of 161340014592 is 295410043161.

It is a happy number.

161340014592 is a `hidden beast` number, since 1 + 6 + 13 + 40 + 0 + 14 + 592 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52027785216 + 109312229376 = 228096^2 + 330624^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161340014599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80952348 + ... + 80954340.

Almost surely, 2^161340014592 is an apocalyptic number.

161340014592 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 161340014592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245080579898).

161340014592 is an abundant number, since it is smaller than the sum of its proper divisors (328821145204).

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

161340014592 is an frugal number, since it uses more digits than its factorization.

161340014592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 161340014592 in words is "one hundred sixty-one billion, three hundred forty million, fourteen thousand, five hundred ninety-two".