1365521163264 has 528 divisors, whose sum is σ = 4120149196800. Its totient is φ = 435332431872.

The previous prime is 1365521163247. The next prime is 1365521163269. The reversal of 1365521163264 is 4623611255631.

It is a happy number.

1365521163264 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 5 + 2 + 1 + 1 + 632 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (1365521163269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3565329217 + ... + 3565329599.

Almost surely, 2^{1365521163264} 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 1365521163264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060074598400).

1365521163264 is an abundant number, since it is smaller than the sum of its proper divisors (2754628033536).

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

1365521163264 is a wasteful number, since it uses less digits than its factorization.

1365521163264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 609 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 1365521163264 in words is "one trillion, three hundred sixty-five billion, five hundred twenty-one million, one hundred sixty-three thousand, two hundred sixty-four".