114092612928 has 252 divisors, whose sum is σ = 393538534740. Its totient is φ = 31473598464.

The previous prime is 114092612917. The next prime is 114092612929. The reversal of 114092612928 is 829216290411.

It is a happy number.

114092612928 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 9 + 2 + 612 + 9 + 28 = 666.

114092612928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 82916354304 + 31176258624 = 287952^2 + 176568^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114092612929) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748800 + ... + 888192.

Almost surely, 2^114092612928 is an apocalyptic number.

114092612928 is a gapful number since it is divisible by the number (18) 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 114092612928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196769267370).

114092612928 is an abundant number, since it is smaller than the sum of its proper divisors (279445921812).

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

114092612928 is a wasteful number, since it uses less digits than its factorization.

114092612928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139454 (or 139434 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 114092612928 in words is "one hundred fourteen billion, ninety-two million, six hundred twelve thousand, nine hundred twenty-eight".