114763258512 has 240 divisors, whose sum is σ = 382774584192. Its totient is φ = 32606945280.

The previous prime is 114763258499. The next prime is 114763258517. The reversal of 114763258512 is 215852367411.

114763258512 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 63 + 2 + 585 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (114763258517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4914448 + ... + 4937744.

Almost surely, 2^114763258512 is an apocalyptic number.

114763258512 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 114763258512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191387292096).

114763258512 is an abundant number, since it is smaller than the sum of its proper divisors (268011325680).

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

114763258512 is a wasteful number, since it uses less digits than its factorization.

114763258512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23508 (or 23490 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 114763258512 in words is "one hundred fourteen billion, seven hundred sixty-three million, two hundred fifty-eight thousand, five hundred twelve".