114835011840 has 108 divisors (see below), whose sum is σ = 397317218844. Its totient is φ = 30622666752.

The previous prime is 114835011833. The next prime is 114835011881. The reversal of 114835011840 is 48110538411.

114835011840 is a `hidden beast` number, since 1 + 148 + 3 + 501 + 1 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47824441344 + 67010570496 = 218688^2 + 258864^2 .

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 = 114835011795 and 114835011804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4972639 + ... + 4995678.

Almost surely, 2^114835011840 is an apocalyptic number.

114835011840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114835011840 is an abundant number, since it is smaller than the sum of its proper divisors (282482207004).

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

114835011840 is an equidigital number, since it uses as much as digits as its factorization.

114835011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9968344 (or 9968327 counting only the distinct ones).

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

The spelling of 114835011840 in words is "one hundred fourteen billion, eight hundred thirty-five million, eleven thousand, eight hundred forty".