365661087674112 has 864 divisors, whose sum is σ = 1175237554982400. Its totient is φ = 108753136386048.

The previous prime is 365661087674107. The next prime is 365661087674131. The reversal of 365661087674112 is 211476780166563.

365661087674112 is a `hidden beast` number, since 3 + 6 + 5 + 6 + 610 + 8 + 7 + 6 + 7 + 4 + 1 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 365661087674112.

It is a congruent number.

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, 84273122439 + ... + 84273126777.

It is an arithmetic number, because the mean of its divisors is an integer number (1360228651600).

Almost surely, 2^{365661087674112} is an apocalyptic number.

365661087674112 is a gapful number since it is divisible by the number (32) 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 365661087674112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587618777491200).

365661087674112 is an abundant number, since it is smaller than the sum of its proper divisors (809576467308288).

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

365661087674112 is a wasteful number, since it uses less digits than its factorization.

365661087674112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 365661087674112 in words is "three hundred sixty-five trillion, six hundred sixty-one billion, eighty-seven million, six hundred seventy-four thousand, one hundred twelve".