160004308992 has 300 divisors, whose sum is σ = 494458095216. Its totient is φ = 45634027520.

The previous prime is 160004308991. The next prime is 160004309029. The reversal of 160004308992 is 299803400061.

It is not an unprimeable number, because it can be changed into a prime (160004308991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9412018168 + ... + 9412018184.

Almost surely, 2^160004308992 is an apocalyptic number.

160004308992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

160004308992 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160004308992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247229047608).

160004308992 is an abundant number, since it is smaller than the sum of its proper divisors (334453786224).

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

160004308992 is an frugal number, since it uses more digits than its factorization.

160004308992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

It can be divided in two parts, 160004 and 308992, that added together give a triangular number (468996 = T₉₆₈).

The spelling of 160004308992 in words is "one hundred sixty billion, four million, three hundred eight thousand, nine hundred ninety-two".