84741538816 has 99 divisors (see below), whose sum is σ = 186425778007. Its totient is φ = 38472304640.

The previous prime is 84741538811. The next prime is 84741538873. The reversal of 84741538816 is 61883514748.

The square root of 84741538816 is 291104.

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

It is a super-2 number, since 2×84741538816² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (5160960) is a multiple of the sum of its prime divisors (840).

It is not an unprimeable number, because it can be changed into a prime (84741538811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102468195 + ... + 102469021.

Almost surely, 2^84741538816 is an apocalyptic number.

84741538816 is the 291104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84741538816

84741538816 is an abundant number, since it is smaller than the sum of its proper divisors (101684239191).

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

84741538816 is an frugal number, since it uses more digits than its factorization.

84741538816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 840 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 55.

The spelling of 84741538816 in words is "eighty-four billion, seven hundred forty-one million, five hundred thirty-eight thousand, eight hundred sixteen".