117911085276672 has 240 divisors, whose sum is σ = 343558288719360. Its totient is φ = 38928345071616.

The previous prime is 117911085276653. The next prime is 117911085276689. The reversal of 117911085276672 is 276672580119711.

117911085276672 is a `hidden beast` number, since 1 + 1 + 7 + 91 + 10 + 8 + 527 + 6 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×117911085276672² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346863204 + ... + 347202972.

It is an arithmetic number, because the mean of its divisors is an integer number (1431492869664).

Almost surely, 2^{117911085276672} is an apocalyptic number.

117911085276672 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 117911085276672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171779144359680).

117911085276672 is an abundant number, since it is smaller than the sum of its proper divisors (225647203442688).

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

117911085276672 is a wasteful number, since it uses less digits than its factorization.

117911085276672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340513 (or 340494 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 63.

The spelling of 117911085276672 in words is "one hundred seventeen trillion, nine hundred eleven billion, eighty-five million, two hundred seventy-six thousand, six hundred seventy-two".