117579353293248 has 224 divisors, whose sum is σ = 387899717902848. Its totient is φ = 30536898662400.

The previous prime is 117579353293229. The next prime is 117579353293253. The reversal of 117579353293248 is 842392353975711.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142653838 + ... + 143475698.

Almost surely, 2^{117579353293248} 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 117579353293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193949858951424).

117579353293248 is an abundant number, since it is smaller than the sum of its proper divisors (270320364609600).

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

117579353293248 is a wasteful number, since it uses less digits than its factorization.

117579353293248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831571 (or 831561 counting only the distinct ones).

The product of its digits is 342921600, while the sum is 69.

The spelling of 117579353293248 in words is "one hundred seventeen trillion, five hundred seventy-nine billion, three hundred fifty-three million, two hundred ninety-three thousand, two hundred forty-eight".