117746262144 has 512 divisors, whose sum is σ = 413858880000. Its totient is φ = 32244645888.

The previous prime is 117746262131. The next prime is 117746262163. The reversal of 117746262144 is 441262647711.

117746262144 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 4 + 626 + 2 + 14 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 117746262144.

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, 110145642 + ... + 110146710.

It is an arithmetic number, because the mean of its divisors is an integer number (808318125).

Almost surely, 2^117746262144 is an apocalyptic number.

117746262144 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 117746262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206929440000).

117746262144 is an abundant number, since it is smaller than the sum of its proper divisors (296112617856).

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

117746262144 is a wasteful number, since it uses less digits than its factorization.

117746262144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1267 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 117746262144 in words is "one hundred seventeen billion, seven hundred forty-six million, two hundred sixty-two thousand, one hundred forty-four".