117648314001 has 45 divisors (see below), whose sum is σ = 183830553291. Its totient is φ = 74976837408.

The previous prime is 117648313967. The next prime is 117648314027. The reversal of 117648314001 is 100413846711.

The square root of 117648314001 is 342999.

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

117648314001 is a `hidden beast` number, since 1 + 1 + 7 + 648 + 3 + 1 + 4 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37459667025 + 80188646976 = 193545^2 + 283176^2 .

It is not a de Polignac number, because 117648314001 - 2¹¹ = 117648311953 is a prime.

It is a super-2 number, since 2×117648314001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117648314081) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 70999965 + ... + 71001621.

Almost surely, 2^117648314001 is an apocalyptic number.

117648314001 is the 342999-th square number.

117648314001 is the 171500-th centered octagonal number.

It is an amenable number.

117648314001 is a deficient number, since it is larger than the sum of its proper divisors (66182239290).

117648314001 is an frugal number, since it uses more digits than its factorization.

117648314001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 117648314001 by its sum of digits (36), we get a square (4235339304036 = 2057994²).

It can be divided in two parts, 117648 and 314001, that added together give a square (431649 = 657²).

The spelling of 117648314001 in words is "one hundred seventeen billion, six hundred forty-eight million, three hundred fourteen thousand, one".