114799541760 has 160 divisors (see below), whose sum is σ = 407777784480. Its totient is φ = 30613192704.

The previous prime is 114799541749. The next prime is 114799541819. The reversal of 114799541760 is 67145997411.

It is a happy number.

114799541760 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 99 + 541 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 114799541697 and 114799541706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761317 + ... + 899556.

It is an arithmetic number, because the mean of its divisors is an integer number (2548611153).

Almost surely, 2^114799541760 is an apocalyptic number.

114799541760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114799541760 is an abundant number, since it is smaller than the sum of its proper divisors (292978242720).

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

114799541760 is an equidigital number, since it uses as much as digits as its factorization.

114799541760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660905 (or 1660883 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 114799541760 in words is "one hundred fourteen billion, seven hundred ninety-nine million, five hundred forty-one thousand, seven hundred sixty".