364521518989056 has 648 divisors, whose sum is σ = 1243913445081216. Its totient is φ = 101768475893760.

The previous prime is 364521518989027. The next prime is 364521518989097. The reversal of 364521518989056 is 650989815125463.

364521518989056 is a `hidden beast` number, since 3 + 6 + 4 + 5 + 21 + 518 + 9 + 89 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×364521518989056² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2239998765 + ... + 2240161491.

Almost surely, 2^{364521518989056} is an apocalyptic number.

364521518989056 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 364521518989056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621956722540608).

364521518989056 is an abundant number, since it is smaller than the sum of its proper divisors (879391926092160).

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

364521518989056 is a wasteful number, since it uses less digits than its factorization.

364521518989056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163309 (or 163279 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 72.

The spelling of 364521518989056 in words is "three hundred sixty-four trillion, five hundred twenty-one billion, five hundred eighteen million, nine hundred eighty-nine thousand, fifty-six".