22064216464040 has 64 divisors (see below), whose sum is σ = 52948435525200. Its totient is φ = 8245896921088.

The previous prime is 22064216464039. The next prime is 22064216464093. The reversal of 22064216464040 is 4046461246022.

It can be written as a sum of positive squares in 8 ways, for example, as 5529241856356 + 16534974607684 = 2351434^2 + 4066322^2 .

It is a super-2 number, since 2×22064216464040² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 118327925 + ... + 118514244.

Almost surely, 2^{22064216464040} is an apocalyptic number.

22064216464040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22064216464040 is an abundant number, since it is smaller than the sum of its proper divisors (30884219061160).

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

22064216464040 is a wasteful number, since it uses less digits than its factorization.

22064216464040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236842334 (or 236842330 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 41.

The spelling of 22064216464040 in words is "twenty-two trillion, sixty-four billion, two hundred sixteen million, four hundred sixty-four thousand, forty".