2328505091136 has 567 divisors, whose sum is σ = 8049912685893. Its totient is φ = 641628933120.

The previous prime is 2328505091123. The next prime is 2328505091179. The reversal of 2328505091136 is 6311905058232.

The square root of 2328505091136 is 1525944.

It is a perfect power (a square), and thus also a powerful number.

2328505091136 is a `hidden beast` number, since 2 + 3 + 2 + 8 + 5 + 0 + 509 + 1 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2203087118400 + 125417972736 = 1484280^2 + 354144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2328505091091 and 2328505091100.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7947116206 + ... + 7947116498.

Almost surely, 2^{2328505091136} is an apocalyptic number.

2328505091136 is the 1525944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2328505091136

2328505091136 is an abundant number, since it is smaller than the sum of its proper divisors (5721407594757).

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

2328505091136 is an equidigital number, since it uses as much as digits as its factorization.

2328505091136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 2328505091136 in words is "two trillion, three hundred twenty-eight billion, five hundred five million, ninety-one thousand, one hundred thirty-six".