114195892438512 has 240 divisors, whose sum is σ = 331844178425760. Its totient is φ = 36634025779200.

The previous prime is 114195892438493. The next prime is 114195892438513. The reversal of 114195892438512 is 215834298591411.

114195892438512 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 9 + 5 + 89 + 2 + 4 + 38 + 512 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114195892438512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114195892438513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145691812 + ... + 146473532.

It is an arithmetic number, because the mean of its divisors is an integer number (1382684076774).

Almost surely, 2^{114195892438512} is an apocalyptic number.

114195892438512 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 114195892438512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165922089212880).

114195892438512 is an abundant number, since it is smaller than the sum of its proper divisors (217648285987248).

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

114195892438512 is a wasteful number, since it uses less digits than its factorization.

114195892438512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782112 (or 782103 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 63.

The spelling of 114195892438512 in words is "one hundred fourteen trillion, one hundred ninety-five billion, eight hundred ninety-two million, four hundred thirty-eight thousand, five hundred twelve".