114186616740 has 144 divisors (see below), whose sum is σ = 398059159680. Its totient is φ = 25953937920.

The previous prime is 114186616721. The next prime is 114186616741. The reversal of 114186616740 is 47616681411.

114186616740 is a `hidden beast` number, since 1 + 14 + 18 + 6 + 616 + 7 + 4 + 0 = 666.

114186616740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (114186616741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27601 + ... + 478680.

It is an arithmetic number, because the mean of its divisors is an integer number (2764299720).

Almost surely, 2^114186616740 is an apocalyptic number.

114186616740 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 114186616740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199029579840).

114186616740 is an abundant number, since it is smaller than the sum of its proper divisors (283872542940).

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

114186616740 is a wasteful number, since it uses less digits than its factorization.

114186616740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506482 (or 506477 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 114186616740 in words is "one hundred fourteen billion, one hundred eighty-six million, six hundred sixteen thousand, seven hundred forty".