84933776356 has 81 divisors (see below), whose sum is σ = 177082459113. Its totient is φ = 35601577440.

The previous prime is 84933776351. The next prime is 84933776357. The reversal of 84933776356 is 65367733948.

It is a happy number.

The square root of 84933776356 is 291434.

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

It can be written as a sum of positive squares in only one way, i.e., 12564168100 + 72369608256 = 112090^2 + 269016^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 84933776294 and 84933776303.

It is not an unprimeable number, because it can be changed into a prime (84933776351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 83349615 + ... + 83350633.

Almost surely, 2^84933776356 is an apocalyptic number.

84933776356 is the 291434-th square number.

It is an amenable number.

84933776356 is an abundant number, since it is smaller than the sum of its proper divisors (92148682757).

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

84933776356 is a wasteful number, since it uses less digits than its factorization.

84933776356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 1045 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 61.

The spelling of 84933776356 in words is "eighty-four billion, nine hundred thirty-three million, seven hundred seventy-six thousand, three hundred fifty-six".