114464779787520 has 1296 divisors, whose sum is σ = 433756019445840. Its totient is φ = 27842174779392.

The previous prime is 114464779787459. The next prime is 114464779787549. The reversal of 114464779787520 is 25787977464411.

114464779787520 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 6 + 4 + 7 + 7 + 97 + 8 + 7 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18131654064384 + 96333125723136 = 4258128^2 + 9814944^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 14925642246 + ... + 14925649914.

Almost surely, 2^{114464779787520} is an apocalyptic number.

114464779787520 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 114464779787520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216878009722920).

114464779787520 is an abundant number, since it is smaller than the sum of its proper divisors (319291239658320).

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

114464779787520 is a wasteful number, since it uses less digits than its factorization.

114464779787520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7868 (or 7832 counting only the distinct ones).

The product of its (nonzero) digits is 663828480, while the sum is 72.

The spelling of 114464779787520 in words is "one hundred fourteen trillion, four hundred sixty-four billion, seven hundred seventy-nine million, seven hundred eighty-seven thousand, five hundred twenty".