8342139456 has 588 divisors, whose sum is σ = 29908218060. Its totient is φ = 2299207680.

The previous prime is 8342139439. The next prime is 8342139457. The reversal of 8342139456 is 6549312438.

It can be written as a sum of positive squares in 2 ways, for example, as 914457600 + 7427681856 = 30240^2 + 86184^2 .

It is a tau number, because it is divible by the number of its divisors (588).

It is not an unprimeable number, because it can be changed into a prime (8342139457) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 93731860 + ... + 93731948.

Almost surely, 2^8342139456 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 8342139456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14954109030).

8342139456 is an abundant number, since it is smaller than the sum of its proper divisors (21566078604).

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

8342139456 is an equidigital number, since it uses as much as digits as its factorization.

8342139456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 142 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 8342139456 is about 91335.3133021396. The cubic root of 8342139456 is about 2028.1145553441.

The spelling of 8342139456 in words is "eight billion, three hundred forty-two million, one hundred thirty-nine thousand, four hundred fifty-six".