114857394687360 has 768 divisors, whose sum is σ = 434127226478400. Its totient is φ = 27811216097280.

The previous prime is 114857394687323. The next prime is 114857394687361. The reversal of 114857394687360 is 63786493758411.

114857394687360 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 5 + 7 + 39 + 468 + 73 + 60 = 666.

It is a super-2 number, since 2×114857394687360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114857394687361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2071677240 + ... + 2071732680.

Almost surely, 2^{114857394687360} is an apocalyptic number.

114857394687360 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 114857394687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217063613239200).

114857394687360 is an abundant number, since it is smaller than the sum of its proper divisors (319269831791040).

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

114857394687360 is a wasteful number, since it uses less digits than its factorization.

114857394687360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55931 (or 55916 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 114857394687360 in words is "one hundred fourteen trillion, eight hundred fifty-seven billion, three hundred ninety-four million, six hundred eighty-seven thousand, three hundred sixty".