114815867040 has 504 divisors, whose sum is σ = 473115040020. Its totient is φ = 26242320384.

The previous prime is 114815867029. The next prime is 114815867071. The reversal of 114815867040 is 40768518411.

114815867040 is a `hidden beast` number, since 11 + 481 + 58 + 6 + 70 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106169098896 + 8646768144 = 325836^2 + 92988^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5705316 + ... + 5725404.

Almost surely, 2^114815867040 is an apocalyptic number.

114815867040 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 114815867040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236557520010).

114815867040 is an abundant number, since it is smaller than the sum of its proper divisors (358299172980).

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

114815867040 is an equidigital number, since it uses as much as digits as its factorization.

114815867040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20136 (or 20106 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 114815867040 in words is "one hundred fourteen billion, eight hundred fifteen million, eight hundred sixty-seven thousand, forty".