114935761360 has 160 divisors (see below), whose sum is σ = 307605312000. Its totient is φ = 39123025920.

The previous prime is 114935761351. The next prime is 114935761439. The reversal of 114935761360 is 63167539411.

It is a self number, because there is not a number n which added to its sum of digits gives 114935761360.

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, 71432236 + ... + 71433844.

It is an arithmetic number, because the mean of its divisors is an integer number (1922533200).

Almost surely, 2^114935761360 is an apocalyptic number.

114935761360 is a gapful number since it is divisible by the number (10) 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 114935761360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153802656000).

114935761360 is an abundant number, since it is smaller than the sum of its proper divisors (192669550640).

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

114935761360 is a wasteful number, since it uses less digits than its factorization.

114935761360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 114935761360 in words is "one hundred fourteen billion, nine hundred thirty-five million, seven hundred sixty-one thousand, three hundred sixty".