361365652368 has 960 divisors, whose sum is σ = 1278003916800. Its totient is φ = 95103590400.

The previous prime is 361365652357. The next prime is 361365652391. The reversal of 361365652368 is 863256563163.

361365652368 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 6 + 56 + 523 + 68 = 666.

It is a super-2 number, since 2×361365652368² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4950214380 + ... + 4950214452.

It is an arithmetic number, because the mean of its divisors is an integer number (1331254080).

Almost surely, 2^361365652368 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 361365652368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639001958400).

361365652368 is an abundant number, since it is smaller than the sum of its proper divisors (916638264432).

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

361365652368 is a wasteful number, since it uses less digits than its factorization.

361365652368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 230 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 361365652368 in words is "three hundred sixty-one billion, three hundred sixty-five million, six hundred fifty-two thousand, three hundred sixty-eight".