114183622728 has 512 divisors, whose sum is σ = 395045683200. Its totient is φ = 29850163200.

The previous prime is 114183622711. The next prime is 114183622757. The reversal of 114183622728 is 827226381411.

114183622728 is a `hidden beast` number, since 1 + 1 + 4 + 18 + 3 + 622 + 7 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75567493 + ... + 75569003.

It is an arithmetic number, because the mean of its divisors is an integer number (771573600).

Almost surely, 2^114183622728 is an apocalyptic number.

114183622728 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 114183622728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197522841600).

114183622728 is an abundant number, since it is smaller than the sum of its proper divisors (280862060472).

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

114183622728 is a wasteful number, since it uses less digits than its factorization.

114183622728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1640 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 114183622728 in words is "one hundred fourteen billion, one hundred eighty-three million, six hundred twenty-two thousand, seven hundred twenty-eight".