8014364442 has 96 divisors (see below), whose sum is σ = 20344396800. Its totient is φ = 2279158560.

The previous prime is 8014364437. The next prime is 8014364453. The reversal of 8014364442 is 2444634108.

8014364442 is a `hidden beast` number, since 8 + 0 + 1 + 4 + 3 + 644 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8014364397 and 8014364406.

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, 1373892 + ... + 1379712.

It is an arithmetic number, because the mean of its divisors is an integer number (211920800).

Almost surely, 2^8014364442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8014364442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10172198400).

8014364442 is an abundant number, since it is smaller than the sum of its proper divisors (12330032358).

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

8014364442 is a wasteful number, since it uses less digits than its factorization.

8014364442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6073 (or 6056 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 8014364442 is about 89522.9827586190. The cubic root of 8014364442 is about 2001.1963210986.

The spelling of 8014364442 in words is "eight billion, fourteen million, three hundred sixty-four thousand, four hundred forty-two".