84906971136 has 156 divisors (see below), whose sum is σ = 264124266588. Its totient is φ = 26125074432.

The previous prime is 84906971117. The next prime is 84906971137. The reversal of 84906971136 is 63117960948.

It can be written as a sum of positive squares in 2 ways, for example, as 31201689600 + 53705281536 = 176640^2 + 231744^2 .

It is a tau number, because it is divible by the number of its divisors (156).

It is not an unprimeable number, because it can be changed into a prime (84906971137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 390646 + ... + 567818.

It is an arithmetic number, because the mean of its divisors is an integer number (1693104273).

Almost surely, 2^84906971136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84906971136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132062133294).

84906971136 is an abundant number, since it is smaller than the sum of its proper divisors (179217295452).

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

84906971136 is a wasteful number, since it uses less digits than its factorization.

84906971136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177216 (or 177191 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 84906971136 in words is "eighty-four billion, nine hundred six million, nine hundred seventy-one thousand, one hundred thirty-six".