363156396260112 has 480 divisors, whose sum is σ = 1257012883526400. Its totient is φ = 95308019712000.

The previous prime is 363156396260089. The next prime is 363156396260129. The reversal of 363156396260112 is 211062693651363.

363156396260112 is a `hidden beast` number, since 3 + 6 + 3 + 1 + 5 + 6 + 3 + 9 + 626 + 0 + 1 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3608096764 + ... + 3608197412.

It is an arithmetic number, because the mean of its divisors is an integer number (2618776840680).

Almost surely, 2^{363156396260112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363156396260112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628506441763200).

363156396260112 is an abundant number, since it is smaller than the sum of its proper divisors (893856487266288).

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

363156396260112 is a wasteful number, since it uses less digits than its factorization.

363156396260112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102031 (or 102022 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 363156396260112 in words is "three hundred sixty-three trillion, one hundred fifty-six billion, three hundred ninety-six million, two hundred sixty thousand, one hundred twelve".