20964404461 has 72 divisors (see below), whose sum is σ = 29164349592. Its totient is φ = 14924448000.

The previous prime is 20964404443. The next prime is 20964404467. The reversal of 20964404461 is 16440446902.

It can be written as a sum of positive squares in 4 ways, for example, as 3890016900 + 17074387561 = 62370^2 + 130669^2 .

It is not a de Polignac number, because 20964404461 - 2⁵ = 20964404429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20964404467) 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 71 ways as a sum of consecutive naturals, for example, 7783431 + ... + 7786123.

It is an arithmetic number, because the mean of its divisors is an integer number (405060411).

Almost surely, 2^20964404461 is an apocalyptic number.

It is an amenable number.

20964404461 is a deficient number, since it is larger than the sum of its proper divisors (8199945131).

20964404461 is a wasteful number, since it uses less digits than its factorization.

20964404461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 20964404461 in words is "twenty billion, nine hundred sixty-four million, four hundred four thousand, four hundred sixty-one".