84036309105424 has 135 divisors (see below), whose sum is σ = 182627709799743. Its totient is φ = 37442380614912.

The previous prime is 84036309105421. The next prime is 84036309105473. The reversal of 84036309105424 is 42450190363048.

The square root of 84036309105424 is 9167132.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10775856675600 + 73260452429824 = 3282660^2 + 8559232^2 .

It is a super-2 number, since 2×84036309105424² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84036309105421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13824032017 + ... + 13824038095.

Almost surely, 2^{84036309105424} is an apocalyptic number.

84036309105424 is the 9167132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84036309105424

84036309105424 is an abundant number, since it is smaller than the sum of its proper divisors (98591400694319).

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

84036309105424 is an frugal number, since it uses more digits than its factorization.

84036309105424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12250 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 84036309105424 in words is "eighty-four trillion, thirty-six billion, three hundred nine million, one hundred five thousand, four hundred twenty-four".