114705836928 has 384 divisors, whose sum is σ = 363862886400. Its totient is φ = 34546176000.

The previous prime is 114705836911. The next prime is 114705836957. The reversal of 114705836928 is 829638507411.

114705836928 is a `hidden beast` number, since 1 + 1 + 470 + 5 + 83 + 6 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48174298 + ... + 48176678.

It is an arithmetic number, because the mean of its divisors is an integer number (947559600).

It is a 1-persistent number, because it is pandigital, but 2⋅114705836928 = 229411673856 is not.

Almost surely, 2^114705836928 is an apocalyptic number.

114705836928 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 114705836928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181931443200).

114705836928 is an abundant number, since it is smaller than the sum of its proper divisors (249157049472).

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

114705836928 is a wasteful number, since it uses less digits than its factorization.

114705836928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 114705836928 in words is "one hundred fourteen billion, seven hundred five million, eight hundred thirty-six thousand, nine hundred twenty-eight".