360096381216 has 288 divisors, whose sum is σ = 1247610506688. Its totient is φ = 100725949440.

The previous prime is 360096381209. The next prime is 360096381277. The reversal of 360096381216 is 612183690063.

360096381216 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 9 + 638 + 1 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 950050 + ... + 1273886.

It is an arithmetic number, because the mean of its divisors is an integer number (4331980926).

Almost surely, 2^360096381216 is an apocalyptic number.

360096381216 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 360096381216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623805253344).

360096381216 is an abundant number, since it is smaller than the sum of its proper divisors (887514125472).

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

360096381216 is a wasteful number, since it uses less digits than its factorization.

360096381216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323886 (or 323866 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 360096381216 in words is "three hundred sixty billion, ninety-six million, three hundred eighty-one thousand, two hundred sixteen".