114821285760 has 768 divisors, whose sum is σ = 436841683200. Its totient is φ = 27674542080.

The previous prime is 114821285759. The next prime is 114821285801. The reversal of 114821285760 is 67582128411.

114821285760 is a `hidden beast` number, since 11 + 48 + 2 + 1 + 28 + 576 + 0 = 666.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280736436 + ... + 280736844.

It is an arithmetic number, because the mean of its divisors is an integer number (568804275).

Almost surely, 2^114821285760 is an apocalyptic number.

114821285760 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 114821285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218420841600).

114821285760 is an abundant number, since it is smaller than the sum of its proper divisors (322020397440).

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

114821285760 is a wasteful number, since it uses less digits than its factorization.

114821285760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 114821285760 in words is "one hundred fourteen billion, eight hundred twenty-one million, two hundred eighty-five thousand, seven hundred sixty".