362161837872 has 240 divisors, whose sum is σ = 1085398030080. Its totient is φ = 112470538752.

The previous prime is 362161837853. The next prime is 362161837883. The reversal of 362161837872 is 278738161263.

It is a happy number.

362161837872 is a `hidden beast` number, since 3 + 621 + 6 + 1 + 8 + 3 + 7 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×362161837872² (a number of 24 digits) contains 22 as substring.

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, 24392083 + ... + 24406925.

It is an arithmetic number, because the mean of its divisors is an integer number (4522491792).

Almost surely, 2^362161837872 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 362161837872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542699015040).

362161837872 is an abundant number, since it is smaller than the sum of its proper divisors (723236192208).

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

362161837872 is a wasteful number, since it uses less digits than its factorization.

362161837872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15072 (or 15063 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 362161837872 in words is "three hundred sixty-two billion, one hundred sixty-one million, eight hundred thirty-seven thousand, eight hundred seventy-two".