84683328016 has 135 divisors (see below), whose sum is σ = 201804505839. Its totient is φ = 34319847744.

The previous prime is 84683328013. The next prime is 84683328043. The reversal of 84683328016 is 61082338648.

The square root of 84683328016 is 291004.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (84683328013) 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, 154813855 + ... + 154814401.

Almost surely, 2^84683328016 is an apocalyptic number.

84683328016 is the 291004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84683328016

84683328016 is an abundant number, since it is smaller than the sum of its proper divisors (117121177823).

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

84683328016 is an equidigital number, since it uses as much as digits as its factorization.

84683328016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

Multiplying 84683328016 by its sum of digits (49), we get a square (4149483072784 = 2037028²).

84683328016 divided by its sum of digits (49) gives a square (1728231184 = 41572²).

The spelling of 84683328016 in words is "eighty-four billion, six hundred eighty-three million, three hundred twenty-eight thousand, sixteen".