16564468513440 has 48 divisors (see below), whose sum is σ = 52178075818848. Its totient is φ = 4417191603456.

The previous prime is 16564468513433. The next prime is 16564468513507. The reversal of 16564468513440 is 4431586446561.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×16564468513440³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17254654222 + ... + 17254655181.

It is an arithmetic number, because the mean of its divisors is an integer number (1087043246226).

Almost surely, 2^{16564468513440} is an apocalyptic number.

16564468513440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16564468513440 is an abundant number, since it is smaller than the sum of its proper divisors (35613607305408).

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

16564468513440 is a wasteful number, since it uses less digits than its factorization.

16564468513440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34509309421 (or 34509309413 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 57.

The spelling of 16564468513440 in words is "sixteen trillion, five hundred sixty-four billion, four hundred sixty-eight million, five hundred thirteen thousand, four hundred forty".