117177296544 has 384 divisors, whose sum is σ = 436019189760. Its totient is φ = 29727129600.

The previous prime is 117177296519. The next prime is 117177296611. The reversal of 117177296544 is 445692771711.

117177296544 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 7 + 7 + 2 + 96 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2840224 + ... + 2881184.

It is an arithmetic number, because the mean of its divisors is an integer number (1135466640).

Almost surely, 2^117177296544 is an apocalyptic number.

117177296544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117177296544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218009594880).

117177296544 is an abundant number, since it is smaller than the sum of its proper divisors (318841893216).

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

117177296544 is a wasteful number, since it uses less digits than its factorization.

117177296544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41041 (or 41027 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The spelling of 117177296544 in words is "one hundred seventeen billion, one hundred seventy-seven million, two hundred ninety-six thousand, five hundred forty-four".