114335813345040 has 1280 divisors, whose sum is σ = 483697338531840. Its totient is φ = 24228818288640.

The previous prime is 114335813344967. The next prime is 114335813345071. The reversal of 114335813345040 is 40543318533411.

114335813345040 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 3 + 5 + 8 + 133 + 4 + 504 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 29144992519 + ... + 29144996441.

It is an arithmetic number, because the mean of its divisors is an integer number (377888545728).

Almost surely, 2^{114335813345040} is an apocalyptic number.

114335813345040 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 114335813345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241848669265920).

114335813345040 is an abundant number, since it is smaller than the sum of its proper divisors (369361525186800).

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

114335813345040 is a wasteful number, since it uses less digits than its factorization.

114335813345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5637 (or 5625 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 114335813345040 in words is "one hundred fourteen trillion, three hundred thirty-five billion, eight hundred thirteen million, three hundred forty-five thousand, forty".