22021616465433 has 96 divisors (see below), whose sum is σ = 37282312083744. Its totient is φ = 12403198918656.

The previous prime is 22021616465423. The next prime is 22021616465441. The reversal of 22021616465433 is 33456461612022.

22021616465433 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 1 + 61 + 6 + 46 + 543 + 3 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 6294744798489 + 15726871666944 = 2508933^2 + 3965712^2 .

It is not a de Polignac number, because 22021616465433 - 2⁶ = 22021616465369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22021616465423) 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 95 ways as a sum of consecutive naturals, for example, 10987785 + ... + 12836457.

It is an arithmetic number, because the mean of its divisors is an integer number (388357417539).

Almost surely, 2^{22021616465433} is an apocalyptic number.

It is an amenable number.

22021616465433 is a deficient number, since it is larger than the sum of its proper divisors (15260695618311).

22021616465433 is a wasteful number, since it uses less digits than its factorization.

22021616465433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848875 (or 1848872 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 22021616465433 in words is "twenty-two trillion, twenty-one billion, six hundred sixteen million, four hundred sixty-five thousand, four hundred thirty-three".