117890777849175 has 48 divisors (see below), whose sum is σ = 217172983968000. Its totient is φ = 62699941887840.

The previous prime is 117890777849147. The next prime is 117890777849177. The reversal of 117890777849175 is 571948777098711.

117890777849175 is a `hidden beast` number, since 117 + 8 + 9 + 0 + 7 + 7 + 7 + 8 + 491 + 7 + 5 = 666.

It is not a de Polignac number, because 117890777849175 - 2²⁴ = 117890761071959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 117890777849094 and 117890777849103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117890777849177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243006985 + ... + 243491634.

It is an arithmetic number, because the mean of its divisors is an integer number (4524437166000).

Almost surely, 2^{117890777849175} is an apocalyptic number.

117890777849175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

117890777849175 is a deficient number, since it is larger than the sum of its proper divisors (99282206118825).

117890777849175 is a wasteful number, since it uses less digits than its factorization.

117890777849175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486498997 (or 486498986 counting only the distinct ones).

The product of its (nonzero) digits is 1742549760, while the sum is 81.

The spelling of 117890777849175 in words is "one hundred seventeen trillion, eight hundred ninety billion, seven hundred seventy-seven million, eight hundred forty-nine thousand, one hundred seventy-five".