114009180642 has 128 divisors (see below), whose sum is σ = 296871505920. Its totient is φ = 31753088640.

The previous prime is 114009180641. The next prime is 114009180661. The reversal of 114009180642 is 246081900411.

114009180642 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 9 + 1 + 8 + 0 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114009180597 and 114009180606.

It is not an unprimeable number, because it can be changed into a prime (114009180641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8461603 + ... + 8475065.

It is an arithmetic number, because the mean of its divisors is an integer number (2319308640).

Almost surely, 2^114009180642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114009180642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148435752960).

114009180642 is an abundant number, since it is smaller than the sum of its proper divisors (182862325278).

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

114009180642 is a wasteful number, since it uses less digits than its factorization.

114009180642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14045 (or 14039 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 114009180642 in words is "one hundred fourteen billion, nine million, one hundred eighty thousand, six hundred forty-two".