84167293456 has 135 divisors (see below), whose sum is σ = 175995461109. Its totient is φ = 38991590400.

The previous prime is 84167293429. The next prime is 84167293519. The reversal of 84167293456 is 65439276148.

The square root of 84167293456 is 290116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 73812195856 + 10355097600 = 271684^2 + 101760^2 .

It is a Duffinian number.

Its product of digits (8709120) is a multiple of the sum of its prime factors (270).

It is a junction number, because it is equal to n+sod(n) for n = 84167293397 and 84167293406.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1379791666 + ... + 1379791726.

Almost surely, 2^84167293456 is an apocalyptic number.

84167293456 is the 290116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84167293456

84167293456 is an abundant number, since it is smaller than the sum of its proper divisors (91828167653).

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

84167293456 is an equidigital number, since it uses as much as digits as its factorization.

84167293456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 133 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 55.

The spelling of 84167293456 in words is "eighty-four billion, one hundred sixty-seven million, two hundred ninety-three thousand, four hundred fifty-six".