84957446241 has 40 divisors (see below), whose sum is σ = 134391660480. Its totient is φ = 53335871712.

The previous prime is 84957446237. The next prime is 84957446251. The reversal of 84957446241 is 14264475948.

84957446241 is a `hidden beast` number, since 8 + 4 + 9 + 5 + 7 + 4 + 4 + 624 + 1 = 666.

It is not a de Polignac number, because 84957446241 - 2² = 84957446237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84957446221) 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 39 ways as a sum of consecutive naturals, for example, 91735 + ... + 422291.

It is an arithmetic number, because the mean of its divisors is an integer number (3359791512).

Almost surely, 2^84957446241 is an apocalyptic number.

84957446241 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

84957446241 is a deficient number, since it is larger than the sum of its proper divisors (49434214239).

84957446241 is a wasteful number, since it uses less digits than its factorization.

84957446241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330755 (or 330746 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 84957446241 in words is "eighty-four billion, nine hundred fifty-seven million, four hundred forty-six thousand, two hundred forty-one".