114481216512 has 330 divisors, whose sum is σ = 370228657128. Its totient is φ = 35220676608.

The previous prime is 114481216501. The next prime is 114481216537. The reversal of 114481216512 is 215612184411.

114481216512 is a `hidden beast` number, since 1 + 1 + 4 + 481 + 2 + 165 + 12 = 666.

It is a super-2 number, since 2×114481216512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 14013453 + ... + 14021619.

Almost surely, 2^114481216512 is an apocalyptic number.

114481216512 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 114481216512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185114328564).

114481216512 is an abundant number, since it is smaller than the sum of its proper divisors (255747440616).

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

114481216512 is an equidigital number, since it uses as much as digits as its factorization.

114481216512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8225 (or 8185 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The spelling of 114481216512 in words is "one hundred fourteen billion, four hundred eighty-one million, two hundred sixteen thousand, five hundred twelve".