1159522365456 has 720 divisors, whose sum is σ = 4317507505584. Its totient is φ = 286941118464.

The previous prime is 1159522365403. The next prime is 1159522365467. The reversal of 1159522365456 is 6545632259511.

1159522365456 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 522 + 3 + 65 + 4 + 56 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 83497881600 + 1076024483856 = 288960^2 + 1037316^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 619071336 + ... + 619073208.

Almost surely, 2^{1159522365456} is an apocalyptic number.

1159522365456 is a gapful number since it is divisible by the number (16) 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 1159522365456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158753752792).

1159522365456 is an abundant number, since it is smaller than the sum of its proper divisors (3157985140128).

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

1159522365456 is a wasteful number, since it uses less digits than its factorization.

1159522365456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2312 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 54.

The spelling of 1159522365456 in words is "one trillion, one hundred fifty-nine billion, five hundred twenty-two million, three hundred sixty-five thousand, four hundred fifty-six".