365443220160 has 224 divisors, whose sum is σ = 1289599534080. Its totient is φ = 97421515776.

The previous prime is 365443220147. The next prime is 365443220173. The reversal of 365443220160 is 61022344563.

365443220160 is a `hidden beast` number, since 3 + 6 + 5 + 443 + 2 + 201 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (365443220147) and next prime (365443220173).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53244889 + ... + 53251751.

Almost surely, 2^365443220160 is an apocalyptic number.

365443220160 is a gapful number since it is divisible by the number (30) 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 365443220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644799767040).

365443220160 is an abundant number, since it is smaller than the sum of its proper divisors (924156313920).

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

365443220160 is a wasteful number, since it uses less digits than its factorization.

365443220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13052 (or 13036 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 365443220160 in words is "three hundred sixty-five billion, four hundred forty-three million, two hundred twenty thousand, one hundred sixty".