114386975640 has 384 divisors, whose sum is σ = 441521233920. Its totient is φ = 25132032000.

The previous prime is 114386975629. The next prime is 114386975683. The reversal of 114386975640 is 46579683411.

114386975640 is a `hidden beast` number, since 1 + 14 + 3 + 8 + 69 + 7 + 564 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11791272 + ... + 11800968.

It is an arithmetic number, because the mean of its divisors is an integer number (1149794880).

Almost surely, 2^114386975640 is an apocalyptic number.

114386975640 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 114386975640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220760616960).

114386975640 is an abundant number, since it is smaller than the sum of its proper divisors (327134258280).

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

114386975640 is a wasteful number, since it uses less digits than its factorization.

114386975640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9903 (or 9896 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

It can be divided in two parts, 114386 and 975640, that added together give a triangular number (1090026 = T₁₄₇₆).

The spelling of 114386975640 in words is "one hundred fourteen billion, three hundred eighty-six million, nine hundred seventy-five thousand, six hundred forty".