11349595015056 has 75 divisors (see below), whose sum is σ = 32849371783393. Its totient is φ = 3783157911360.

The previous prime is 11349595015019. The next prime is 11349595015079. The reversal of 11349595015056 is 65051059594311.

It is a happy number.

The square root of 11349595015056 is 3368916.

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

11349595015056 is a `hidden beast` number, since 1 + 1 + 3 + 49 + 5 + 95 + 0 + 1 + 505 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4310124775056 + 7039470240000 = 2076084^2 + 2653200^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11349595014993 and 11349595015011.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 121234186 + ... + 121327766.

Almost surely, 2^{11349595015056} is an apocalyptic number.

11349595015056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11349595015056 is the 3368916-th square number.

It is an amenable number.

11349595015056 is an abundant number, since it is smaller than the sum of its proper divisors (21499776768337).

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

11349595015056 is an frugal number, since it uses more digits than its factorization.

11349595015056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187182 (or 93586 counting only the distinct ones).

The product of its (nonzero) digits is 3645000, while the sum is 54.

The spelling of 11349595015056 in words is "eleven trillion, three hundred forty-nine billion, five hundred ninety-five million, fifteen thousand, fifty-six".