114595931062272 has 768 divisors, whose sum is σ = 340962595585920. Its totient is φ = 34206515200000.

The previous prime is 114595931062247. The next prime is 114595931062339. The reversal of 114595931062272 is 272260139595411.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391112392558 + ... + 391112392850.

Almost surely, 2^{114595931062272} is an apocalyptic number.

114595931062272 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 114595931062272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170481297792960).

114595931062272 is an abundant number, since it is smaller than the sum of its proper divisors (226366664523648).

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

114595931062272 is a wasteful number, since it uses less digits than its factorization.

114595931062272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 114595931062272 in words is "one hundred fourteen trillion, five hundred ninety-five billion, nine hundred thirty-one million, sixty-two thousand, two hundred seventy-two".