363416520096 has 144 divisors (see below), whose sum is σ = 1183797014400. Its totient is φ = 103596516864.

The previous prime is 363416520053. The next prime is 363416520139. The reversal of 363416520096 is 690025614363.

363416520096 is a `hidden beast` number, since 3 + 6 + 34 + 1 + 6 + 520 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (363416520053) and next prime (363416520139).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679710 + ... + 1090338.

It is an arithmetic number, because the mean of its divisors is an integer number (8220812600).

Almost surely, 2^363416520096 is an apocalyptic number.

363416520096 is a gapful number since it is divisible by the number (36) 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 363416520096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591898507200).

363416520096 is an abundant number, since it is smaller than the sum of its proper divisors (820380494304).

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

363416520096 is a wasteful number, since it uses less digits than its factorization.

363416520096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411091 (or 411080 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 363416520096 in words is "three hundred sixty-three billion, four hundred sixteen million, five hundred twenty thousand, ninety-six".