114603763680 has 1200 divisors, whose sum is σ = 491950609920. Its totient is φ = 25092716544.

The previous prime is 114603763669. The next prime is 114603763691. The reversal of 114603763680 is 86367306411.

114603763680 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 0 + 3 + 7 + 636 + 8 + 0 = 666.

114603763680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114603763669) and next prime (114603763691).

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 polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 902391777 + ... + 902391903.

Almost surely, 2^114603763680 is an apocalyptic number.

114603763680 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 114603763680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245975304960).

114603763680 is an abundant number, since it is smaller than the sum of its proper divisors (377346846240).

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

114603763680 is an equidigital number, since it uses as much as digits as its factorization.

114603763680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 114603763680 in words is "one hundred fourteen billion, six hundred three million, seven hundred sixty-three thousand, six hundred eighty".