361582857216 has 792 divisors, whose sum is σ = 1309373604864. Its totient is φ = 95544852480.

The previous prime is 361582857211. The next prime is 361582857217. The reversal of 361582857216 is 612758285163.

361582857216 is a `hidden beast` number, since 3 + 6 + 1 + 58 + 2 + 8 + 572 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (361582857211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 321978831 + ... + 321979953.

Almost surely, 2^361582857216 is an apocalyptic number.

361582857216 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 361582857216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654686802432).

361582857216 is an abundant number, since it is smaller than the sum of its proper divisors (947790747648).

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

361582857216 is a wasteful number, since it uses less digits than its factorization.

361582857216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1189 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 361582857216 in words is "three hundred sixty-one billion, five hundred eighty-two million, eight hundred fifty-seven thousand, two hundred sixteen".