365797216512 has 576 divisors, whose sum is σ = 1350272286720. Its totient is φ = 95103590400.

The previous prime is 365797216507. The next prime is 365797216523. The reversal of 365797216512 is 215612797563.

It is a happy number.

365797216512 is a `hidden beast` number, since 3 + 6 + 57 + 9 + 72 + 1 + 6 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×365797216512² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44654337 + ... + 44662527.

It is an arithmetic number, because the mean of its divisors is an integer number (2344222720).

Almost surely, 2^365797216512 is an apocalyptic number.

365797216512 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 365797216512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675136143360).

365797216512 is an abundant number, since it is smaller than the sum of its proper divisors (984475070208).

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

365797216512 is a wasteful number, since it uses less digits than its factorization.

365797216512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8307 (or 8287 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The spelling of 365797216512 in words is "three hundred sixty-five billion, seven hundred ninety-seven million, two hundred sixteen thousand, five hundred twelve".