114766560120 has 256 divisors, whose sum is σ = 365365002240. Its totient is φ = 28780640768.

The previous prime is 114766560109. The next prime is 114766560121. The reversal of 114766560120 is 21065667411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114766560121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52000057 + ... + 52002263.

It is an arithmetic number, because the mean of its divisors is an integer number (1427207040).

Almost surely, 2^114766560120 is an apocalyptic number.

114766560120 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 114766560120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182682501120).

114766560120 is an abundant number, since it is smaller than the sum of its proper divisors (250598442120).

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

114766560120 is a wasteful number, since it uses less digits than its factorization.

114766560120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 114766560120 in words is "one hundred fourteen billion, seven hundred sixty-six million, five hundred sixty thousand, one hundred twenty".