160344987264 has 1440 divisors, whose sum is σ = 651998239200. Its totient is φ = 38183270400.

The previous prime is 160344987223. The next prime is 160344987277. The reversal of 160344987264 is 462789443061.

160344987264 is a `hidden beast` number, since 1 + 60 + 3 + 449 + 87 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 160344987264.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 5172418929 + ... + 5172418959.

It is an arithmetic number, because the mean of its divisors is an integer number (452776555).

Almost surely, 2^160344987264 is an apocalyptic number.

160344987264 is a gapful number since it is divisible by the number (14) 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 160344987264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325999119600).

160344987264 is an abundant number, since it is smaller than the sum of its proper divisors (491653251936).

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

160344987264 is a wasteful number, since it uses less digits than its factorization.

160344987264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 160344987264 in words is "one hundred sixty billion, three hundred forty-four million, nine hundred eighty-seven thousand, two hundred sixty-four".