84965856948 has 72 divisors (see below), whose sum is σ = 245483784000. Its totient is φ = 24273302400.

The previous prime is 84965856931. The next prime is 84965856959.

84965856948 is a `hidden beast` number, since 8 + 4 + 9 + 6 + 58 + 569 + 4 + 8 = 666.

84965856948 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4185928 + ... + 4206176.

It is an arithmetic number, because the mean of its divisors is an integer number (3409497000).

Almost surely, 2^84965856948 is an apocalyptic number.

It is an amenable number.

84965856948 is an abundant number, since it is smaller than the sum of its proper divisors (160517927052).

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

84965856948 is a wasteful number, since it uses less digits than its factorization.

84965856948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36917 (or 36912 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 84965856948 in words is "eighty-four billion, nine hundred sixty-five million, eight hundred fifty-six thousand, nine hundred forty-eight".