114185411640 has 640 divisors, whose sum is σ = 423826603200. Its totient is φ = 27453358080.

The previous prime is 114185411609. The next prime is 114185411647. The reversal of 114185411640 is 46114581411.

114185411640 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 8 + 5 + 4 + 1 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114185411595 and 114185411604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114185411647) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 133238092 + ... + 133238948.

Almost surely, 2^114185411640 is an apocalyptic number.

114185411640 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 114185411640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211913301600).

114185411640 is an abundant number, since it is smaller than the sum of its proper divisors (309641191560).

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

114185411640 is a wasteful number, since it uses less digits than its factorization.

114185411640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

It can be divided in two parts, 114185 and 411640, that added together give a triangular number (525825 = T₁₀₂₅).

The spelling of 114185411640 in words is "one hundred fourteen billion, one hundred eighty-five million, four hundred eleven thousand, six hundred forty".