160457848320 has 960 divisors, whose sum is σ = 682759300608. Its totient is φ = 31358976000.

The previous prime is 160457848277. The next prime is 160457848333. The reversal of 160457848320 is 23848754061.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 160457848320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110583595 + ... + 110585045.

Almost surely, 2^160457848320 is an apocalyptic number.

160457848320 is a gapful number since it is divisible by the number (10) 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 160457848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341379650304).

160457848320 is an abundant number, since it is smaller than the sum of its proper divisors (522301452288).

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

160457848320 is a wasteful number, since it uses less digits than its factorization.

160457848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 160457848320 in words is "one hundred sixty billion, four hundred fifty-seven million, eight hundred forty-eight thousand, three hundred twenty".