114607765272 has 256 divisors, whose sum is σ = 385117286400. Its totient is φ = 27448404480.

The previous prime is 114607765231. The next prime is 114607765289. The reversal of 114607765272 is 272567706411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28514479 + ... + 28518497.

It is an arithmetic number, because the mean of its divisors is an integer number (1504364400).

Almost surely, 2^114607765272 is an apocalyptic number.

114607765272 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 114607765272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192558643200).

114607765272 is an abundant number, since it is smaller than the sum of its proper divisors (270509521128).

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

114607765272 is a wasteful number, since it uses less digits than its factorization.

114607765272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5246 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 114607765272 in words is "one hundred fourteen billion, six hundred seven million, seven hundred sixty-five thousand, two hundred seventy-two".