363054392064 has 864 divisors, whose sum is σ = 1362799226880. Its totient is φ = 90333315072.

The previous prime is 363054392059. The next prime is 363054392089. The reversal of 363054392064 is 460293450363.

363054392064 is a `hidden beast` number, since 3 + 6 + 3 + 0 + 5 + 439 + 206 + 4 = 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, 380959012 + ... + 380959964.

It is an arithmetic number, because the mean of its divisors is an integer number (1577313920).

Almost surely, 2^363054392064 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 363054392064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681399613440).

363054392064 is an abundant number, since it is smaller than the sum of its proper divisors (999744834816).

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

363054392064 is a wasteful number, since it uses less digits than its factorization.

363054392064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 363054392064 in words is "three hundred sixty-three billion, fifty-four million, three hundred ninety-two thousand, sixty-four".