114017774640 has 960 divisors, whose sum is σ = 479624302080. Its totient is φ = 22078586880.

The previous prime is 114017774621. The next prime is 114017774669. The reversal of 114017774640 is 46477710411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 114017774592 and 114017774601.

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 191 ways as a sum of consecutive naturals, for example, 305677494 + ... + 305677866.

It is an arithmetic number, because the mean of its divisors is an integer number (499608648).

Almost surely, 2^114017774640 is an apocalyptic number.

114017774640 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 114017774640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239812151040).

114017774640 is an abundant number, since it is smaller than the sum of its proper divisors (365606527440).

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

114017774640 is a wasteful number, since it uses less digits than its factorization.

114017774640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The spelling of 114017774640 in words is "one hundred fourteen billion, seventeen million, seven hundred seventy-four thousand, six hundred forty".