114446904022512 has 240 divisors, whose sum is σ = 338825474719200. Its totient is φ = 36985768888320.

The previous prime is 114446904022459. The next prime is 114446904022571. The reversal of 114446904022512 is 215220409644411.

114446904022512 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 4 + 6 + 90 + 40 + 2 + 2 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165841314 + ... + 166529982.

It is an arithmetic number, because the mean of its divisors is an integer number (1411772811330).

Almost surely, 2^{114446904022512} is an apocalyptic number.

114446904022512 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 114446904022512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169412737359600).

114446904022512 is an abundant number, since it is smaller than the sum of its proper divisors (224378570696688).

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

114446904022512 is a wasteful number, since it uses less digits than its factorization.

114446904022512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689041 (or 688992 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 114446904022512 in words is "one hundred fourteen trillion, four hundred forty-six billion, nine hundred four million, twenty-two thousand, five hundred twelve".