114214852824912 has 160 divisors (see below), whose sum is σ = 374727048672000. Its totient is φ = 32628113044992.

The previous prime is 114214852824893. The next prime is 114214852824929. The reversal of 114214852824912 is 219428258412411.

It is a happy number.

114214852824912 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 1 + 4 + 8 + 528 + 24 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18296158 + ... + 23731394.

It is an arithmetic number, because the mean of its divisors is an integer number (2342044054200).

Almost surely, 2^{114214852824912} is an apocalyptic number.

114214852824912 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 114214852824912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187363524336000).

114214852824912 is an abundant number, since it is smaller than the sum of its proper divisors (260512195847088).

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

114214852824912 is a wasteful number, since it uses less digits than its factorization.

114214852824912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5442210 (or 5442198 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 114214852824912 in words is "one hundred fourteen trillion, two hundred fourteen billion, eight hundred fifty-two million, eight hundred twenty-four thousand, nine hundred twelve".