117107761144 has 128 divisors (see below), whose sum is σ = 270967161600. Its totient is φ = 46753597440.

The previous prime is 117107761129. The next prime is 117107761189. The reversal of 117107761144 is 441167701711.

It is a junction number, because it is equal to n+sod(n) for n = 117107761097 and 117107761106.

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, 1873662 + ... + 1935154.

It is an arithmetic number, because the mean of its divisors is an integer number (2116930950).

Almost surely, 2^117107761144 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 117107761144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135483580800).

117107761144 is an abundant number, since it is smaller than the sum of its proper divisors (153859400456).

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

117107761144 is a wasteful number, since it uses less digits than its factorization.

117107761144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61613 (or 61609 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 40.

The spelling of 117107761144 in words is "one hundred seventeen billion, one hundred seven million, seven hundred sixty-one thousand, one hundred forty-four".