117823912408224 has 384 divisors, whose sum is σ = 376344761103360. Its totient is φ = 35566235827200.

The previous prime is 117823912408177. The next prime is 117823912408231. The reversal of 117823912408224 is 422804219328711.

117823912408224 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 2 + 3 + 9 + 1 + 2 + 408 + 224 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4467921759 + ... + 4467948129.

It is an arithmetic number, because the mean of its divisors is an integer number (980064482040).

Almost surely, 2^{117823912408224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117823912408224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188172380551680).

117823912408224 is an abundant number, since it is smaller than the sum of its proper divisors (258520848695136).

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

117823912408224 is a wasteful number, since it uses less digits than its factorization.

117823912408224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28201 (or 28187 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 117823912408224 in words is "one hundred seventeen trillion, eight hundred twenty-three billion, nine hundred twelve million, four hundred eight thousand, two hundred twenty-four".