117893256147072 has 2304 divisors, whose sum is σ = 444425715377280. Its totient is φ = 30901351219200.

The previous prime is 117893256147071. The next prime is 117893256147077. The reversal of 117893256147072 is 270741652398711.

117893256147072 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 9 + 3 + 2 + 5 + 614 + 7 + 0 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (117893256147071) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 196161823572 + ... + 196161824172.

It is a 1-persistent number, because it is pandigital, but 2⋅117893256147072 = 235786512294144 is not.

Almost surely, 2^{117893256147072} is an apocalyptic number.

117893256147072 is a gapful number since it is divisible by the number (12) 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 117893256147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222212857688640).

117893256147072 is an abundant number, since it is smaller than the sum of its proper divisors (326532459230208).

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

117893256147072 is a wasteful number, since it uses less digits than its factorization.

117893256147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 117893256147072 in words is "one hundred seventeen trillion, eight hundred ninety-three billion, two hundred fifty-six million, one hundred forty-seven thousand, seventy-two".