114637480272 has 240 divisors, whose sum is σ = 369350467200. Its totient is φ = 32514048000.

The previous prime is 114637480253. The next prime is 114637480277. The reversal of 114637480272 is 272084736411.

114637480272 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 374 + 8 + 0 + 272 = 666.

114637480272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114637480272² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114637480277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109074147 + ... + 109075197.

It is an arithmetic number, because the mean of its divisors is an integer number (1538960280).

Almost surely, 2^114637480272 is an apocalyptic number.

114637480272 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 114637480272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184675233600).

114637480272 is an abundant number, since it is smaller than the sum of its proper divisors (254712986928).

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

114637480272 is a wasteful number, since it uses less digits than its factorization.

114637480272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 114637480272 in words is "one hundred fourteen billion, six hundred thirty-seven million, four hundred eighty thousand, two hundred seventy-two".