114765332720 has 80 divisors (see below), whose sum is σ = 269902287648. Its totient is φ = 45378600960.

The previous prime is 114765332719. The next prime is 114765332741. The reversal of 114765332720 is 27233567411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6828167 + ... + 6844953.

Almost surely, 2^114765332720 is an apocalyptic number.

114765332720 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 114765332720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134951143824).

114765332720 is an abundant number, since it is smaller than the sum of its proper divisors (155136954928).

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

114765332720 is a wasteful number, since it uses less digits than its factorization.

114765332720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17778 (or 17772 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 114765332720 in words is "one hundred fourteen billion, seven hundred sixty-five million, three hundred thirty-two thousand, seven hundred twenty".