114320821824 has 224 divisors, whose sum is σ = 370759939200. Its totient is φ = 34252922880.

The previous prime is 114320821819. The next prime is 114320821829. The reversal of 114320821824 is 428128023411.

114320821824 is a `hidden beast` number, since 1 + 1 + 432 + 0 + 8 + 218 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (114320821819) and next prime (114320821829).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114320821829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1657924 + ... + 1725500.

It is an arithmetic number, because the mean of its divisors is an integer number (1655178300).

Almost surely, 2^114320821824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114320821824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185379969600).

114320821824 is an abundant number, since it is smaller than the sum of its proper divisors (256439117376).

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

114320821824 is a wasteful number, since it uses less digits than its factorization.

114320821824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67698 (or 67682 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 114320821824 in words is "one hundred fourteen billion, three hundred twenty million, eight hundred twenty-one thousand, eight hundred twenty-four".