117629792784 has 225 divisors, whose sum is σ = 396330401181. Its totient is φ = 33583818240.

The previous prime is 117629792771. The next prime is 117629792831. The reversal of 117629792784 is 487297926711.

The square root of 117629792784 is 342972.

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

117629792784 is a `hidden beast` number, since 1 + 1 + 76 + 297 + 9 + 278 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19986042384 + 97643750400 = 141372^2 + 312480^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 86428264 + ... + 86429624.

Almost surely, 2^117629792784 is an apocalyptic number.

117629792784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

117629792784 is the 342972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117629792784

117629792784 is an abundant number, since it is smaller than the sum of its proper divisors (278700608397).

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

117629792784 is an frugal number, since it uses more digits than its factorization.

117629792784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 1373 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 63.

The spelling of 117629792784 in words is "one hundred seventeen billion, six hundred twenty-nine million, seven hundred ninety-two thousand, seven hundred eighty-four".