117257255506944 has 704 divisors, whose sum is σ = 405736597094400. Its totient is φ = 32754896142336.

The previous prime is 117257255506939. The next prime is 117257255507033. The reversal of 117257255506944 is 449605552752711.

117257255506944 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 5 + 72 + 5 + 550 + 6 + 9 + 4 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9396360097 + ... + 9396372575.

It is an arithmetic number, because the mean of its divisors is an integer number (576330393600).

Almost surely, 2^{117257255506944} is an apocalyptic number.

117257255506944 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 117257255506944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202868298547200).

117257255506944 is an abundant number, since it is smaller than the sum of its proper divisors (288479341587456).

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

117257255506944 is a wasteful number, since it uses less digits than its factorization.

117257255506944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13595 (or 13571 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 63.

The spelling of 117257255506944 in words is "one hundred seventeen trillion, two hundred fifty-seven billion, two hundred fifty-five million, five hundred six thousand, nine hundred forty-four".