114121726752 has 96 divisors (see below), whose sum is σ = 326985652224. Its totient is φ = 34563027200.

The previous prime is 114121726739. The next prime is 114121726783. The reversal of 114121726752 is 257627121411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 114121726752.

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 15 ways as a sum of consecutive naturals, for example, 1921177 + ... + 1979687.

It is an arithmetic number, because the mean of its divisors is an integer number (3406100544).

Almost surely, 2^114121726752 is an apocalyptic number.

114121726752 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 114121726752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163492826112).

114121726752 is an abundant number, since it is smaller than the sum of its proper divisors (212863925472).

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

114121726752 is a wasteful number, since it uses less digits than its factorization.

114121726752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60382 (or 60374 counting only the distinct ones).

The product of its digits is 47040, while the sum is 39.

The spelling of 114121726752 in words is "one hundred fourteen billion, one hundred twenty-one million, seven hundred twenty-six thousand, seven hundred fifty-two".