114675125760 has 480 divisors, whose sum is σ = 441124310880. Its totient is φ = 28224847872.

The previous prime is 114675125723. The next prime is 114675125801. The reversal of 114675125760 is 67521576411.

114675125760 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 75 + 1 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11676372 + ... + 11686188.

It is an arithmetic number, because the mean of its divisors is an integer number (919008981).

Almost surely, 2^114675125760 is an apocalyptic number.

114675125760 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 114675125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220562155440).

114675125760 is an abundant number, since it is smaller than the sum of its proper divisors (326449185120).

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

114675125760 is an equidigital number, since it uses as much as digits as its factorization.

114675125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9875 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 114675125760 in words is "one hundred fourteen billion, six hundred seventy-five million, one hundred twenty-five thousand, seven hundred sixty".