84805076961 has 48 divisors (see below), whose sum is σ = 135640739520. Its totient is φ = 50630002560.

The previous prime is 84805076947. The next prime is 84805076969. The reversal of 84805076961 is 16967050848.

84805076961 is a `hidden beast` number, since 8 + 48 + 0 + 507 + 6 + 96 + 1 = 666.

It is not a de Polignac number, because 84805076961 - 2¹⁸ = 84804814817 is a prime.

It is a super-3 number, since 3×84805076961³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 84805076898 and 84805076907.

It is not an unprimeable number, because it can be changed into a prime (84805076969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1844130 + ... + 1889556.

It is an arithmetic number, because the mean of its divisors is an integer number (2825848740).

Almost surely, 2^84805076961 is an apocalyptic number.

It is an amenable number.

84805076961 is a deficient number, since it is larger than the sum of its proper divisors (50835662559).

84805076961 is a wasteful number, since it uses less digits than its factorization.

84805076961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45726 (or 45723 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 84805076961 in words is "eighty-four billion, eight hundred five million, seventy-six thousand, nine hundred sixty-one".