11617332634440 has 96 divisors (see below), whose sum is σ = 40660664236920. Its totient is φ = 2859651108864.

The previous prime is 11617332634399. The next prime is 11617332634517. The reversal of 11617332634440 is 4443623371611.

It is a happy number.

11617332634440 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 7 + 3 + 3 + 2 + 634 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4599146171844 + 7018186462596 = 2144562^2 + 2649186^2 .

It is a super-2 number, since 2×11617332634440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1241163337 + ... + 1241172696.

Almost surely, 2^{11617332634440} is an apocalyptic number.

11617332634440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11617332634440 is an abundant number, since it is smaller than the sum of its proper divisors (29043331602480).

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

11617332634440 is a wasteful number, since it uses less digits than its factorization.

11617332634440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482336063 (or 2482336056 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 11617332634440 in words is "eleven trillion, six hundred seventeen billion, three hundred thirty-two million, six hundred thirty-four thousand, four hundred forty".