160365105844032 has 224 divisors, whose sum is σ = 435943963816704. Its totient is φ = 52010916249600.

The previous prime is 160365105843983. The next prime is 160365105844033. The reversal of 160365105844032 is 230448501563061.

It is a super-2 number, since 2×160365105844032² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160365105844033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466601532 + ... + 466945092.

It is an arithmetic number, because the mean of its divisors is an integer number (1946178409896).

Almost surely, 2^{160365105844032} is an apocalyptic number.

160365105844032 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 160365105844032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217971981908352).

160365105844032 is an abundant number, since it is smaller than the sum of its proper divisors (275578857972672).

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

160365105844032 is a wasteful number, since it uses less digits than its factorization.

160365105844032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344097 (or 344087 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 160365105844032 in words is "one hundred sixty trillion, three hundred sixty-five billion, one hundred five million, eight hundred forty-four thousand, thirty-two".