114781779000 has 896 divisors, whose sum is σ = 467492014080. Its totient is φ = 25824096000.

The previous prime is 114781778999. The next prime is 114781779019. The reversal of 114781779000 is 977187411.

114781779000 is a `hidden beast` number, since 1 + 1 + 478 + 177 + 9 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 423548865 + ... + 423549135.

It is an arithmetic number, because the mean of its divisors is an integer number (521754480).

Almost surely, 2^114781779000 is an apocalyptic number.

114781779000 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 114781779000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233746007040).

114781779000 is an abundant number, since it is smaller than the sum of its proper divisors (352710235080).

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

114781779000 is an equidigital number, since it uses as much as digits as its factorization.

114781779000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 45.

The spelling of 114781779000 in words is "one hundred fourteen billion, seven hundred eighty-one million, seven hundred seventy-nine thousand".