114934728960 has 216 divisors, whose sum is σ = 398059454520. Its totient is φ = 30618648576.

The previous prime is 114934728943. The next prime is 114934728977. The reversal of 114934728960 is 69827439411.

114934728960 is a `hidden beast` number, since 1 + 1 + 4 + 93 + 472 + 89 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114934728943) and next prime (114934728977).

It can be written as a sum of positive squares in 4 ways, for example, as 22557636864 + 92377092096 = 150192^2 + 303936^2 .

It is a super-2 number, since 2×114934728960² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114934728897 and 114934728906.

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 23 ways as a sum of consecutive naturals, for example, 13001662 + ... + 13010498.

It is an arithmetic number, because the mean of its divisors is an integer number (1842867845).

Almost surely, 2^114934728960 is an apocalyptic number.

114934728960 is a gapful number since it is divisible by the number (10) 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 114934728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199029727260).

114934728960 is an abundant number, since it is smaller than the sum of its proper divisors (283124725560).

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

114934728960 is a wasteful number, since it uses less digits than its factorization.

114934728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9993 (or 9976 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 114934728960 in words is "one hundred fourteen billion, nine hundred thirty-four million, seven hundred twenty-eight thousand, nine hundred sixty".