117884763375625 has 135 divisors (see below), whose sum is σ = 159549435885081. Its totient is φ = 87054365952000.

The previous prime is 117884763375623. The next prime is 117884763375683. The reversal of 117884763375625 is 526573367488711.

The square root of 117884763375625 is 10857475.

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

It can be written as a sum of positive squares in 22 ways, for example, as 97194419190729 + 20690344184896 = 9858723^2 + 4548664^2 .

It is not a de Polignac number, because 117884763375625 - 2¹ = 117884763375623 is a prime.

It is a super-2 number, since 2×117884763375625² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117884763375623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 272251185409 + ... + 272251185841.

Almost surely, 2^{117884763375625} is an apocalyptic number.

117884763375625 is the 10857475-th square number.

117884763375625 is the 5428738-th centered octagonal number.

It is an amenable number.

117884763375625 is a deficient number, since it is larger than the sum of its proper divisors (41664672509456).

117884763375625 is an frugal number, since it uses more digits than its factorization.

117884763375625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 514 counting only the distinct ones).

The product of its digits is 1422489600, while the sum is 73.

The spelling of 117884763375625 in words is "one hundred seventeen trillion, eight hundred eighty-four billion, seven hundred sixty-three million, three hundred seventy-five thousand, six hundred twenty-five".