117752963328 has 1728 divisors, whose sum is σ = 495978921984. Its totient is φ = 26873856000.

The previous prime is 117752963323. The next prime is 117752963329. The reversal of 117752963328 is 823369257711.

117752963328 is a `hidden beast` number, since 1 + 17 + 7 + 5 + 296 + 332 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (117752963323) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1930376418 + ... + 1930376478.

Almost surely, 2^117752963328 is an apocalyptic number.

117752963328 is a gapful number since it is divisible by the number (18) 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 117752963328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247989460992).

117752963328 is an abundant number, since it is smaller than the sum of its proper divisors (378225958656).

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

117752963328 is a wasteful number, since it uses less digits than its factorization.

117752963328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 128 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

It can be divided in two parts, 11775296 and 3328, that added together give a square (11778624 = 3432²).

The spelling of 117752963328 in words is "one hundred seventeen billion, seven hundred fifty-two million, nine hundred sixty-three thousand, three hundred twenty-eight".