2117648757096 has 40 divisors (see below), whose sum is σ = 5931377307570. Its totient is φ = 705882918816.

The previous prime is 2117648757083. The next prime is 2117648757121. The reversal of 2117648757096 is 6907578467112.

2117648757096 is a `hidden beast` number, since 2 + 1 + 17 + 6 + 48 + 7 + 570 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1634526452196 + 483122304900 = 1278486^2 + 695070^2 .

It is a super-2 number, since 2×2117648757096² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1633987591 + ... + 1633988886.

Almost surely, 2^{2117648757096} is an apocalyptic number.

It is an amenable number.

2117648757096 is an abundant number, since it is smaller than the sum of its proper divisors (3813728550474).

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

2117648757096 is a wasteful number, since it uses less digits than its factorization.

2117648757096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267976495 (or 3267976482 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 2117648757096 in words is "two trillion, one hundred seventeen billion, six hundred forty-eight million, seven hundred fifty-seven thousand, ninety-six".