114859250134272 has 216 divisors, whose sum is σ = 378495345475520. Its totient is φ = 32815353692160.

The previous prime is 114859250134249. The next prime is 114859250134297. The reversal of 114859250134272 is 272431052958411.

114859250134272 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 5 + 92 + 501 + 3 + 42 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359349504 + ... + 359668992.

Almost surely, 2^{114859250134272} is an apocalyptic number.

114859250134272 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 114859250134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189247672737760).

114859250134272 is an abundant number, since it is smaller than the sum of its proper divisors (263636095341248).

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

114859250134272 is a wasteful number, since it uses less digits than its factorization.

114859250134272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341809 (or 341792 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 114859250134272 in words is "one hundred fourteen trillion, eight hundred fifty-nine billion, two hundred fifty million, one hundred thirty-four thousand, two hundred seventy-two".