117348076468224 has 576 divisors, whose sum is σ = 403853622681600. Its totient is φ = 32116856389632.

The previous prime is 117348076468213. The next prime is 117348076468229. The reversal of 117348076468224 is 422864670843711.

It is a happy number.

117348076468224 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 4 + 80 + 76 + 468 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117348076468229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475071919 + ... + 475318865.

It is an arithmetic number, because the mean of its divisors is an integer number (701134761600).

Almost surely, 2^{117348076468224} is an apocalyptic number.

117348076468224 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 117348076468224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201926811340800).

117348076468224 is an abundant number, since it is smaller than the sum of its proper divisors (286505546213376).

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

117348076468224 is a wasteful number, since it uses less digits than its factorization.

117348076468224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247138 (or 247115 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 117348076468224 in words is "one hundred seventeen trillion, three hundred forty-eight billion, seventy-six million, four hundred sixty-eight thousand, two hundred twenty-four".