114135773760 has 896 divisors, whose sum is σ = 432591667200. Its totient is φ = 28287221760.

The previous prime is 114135773723. The next prime is 114135773767. The reversal of 114135773760 is 67377531411.

114135773760 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 3 + 577 + 3 + 76 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (114135773767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 898706817 + ... + 898706943.

It is an arithmetic number, because the mean of its divisors is an integer number (482803200).

Almost surely, 2^114135773760 is an apocalyptic number.

114135773760 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 114135773760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216295833600).

114135773760 is an abundant number, since it is smaller than the sum of its proper divisors (318455893440).

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

114135773760 is a wasteful number, since it uses less digits than its factorization.

114135773760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 114135773760 in words is "one hundred fourteen billion, one hundred thirty-five million, seven hundred seventy-three thousand, seven hundred sixty".