16406165664 has 72 divisors (see below), whose sum is σ = 53320044960. Its totient is φ = 4687475328.

The previous prime is 16406165647. The next prime is 16406165669. The reversal of 16406165664 is 46656160461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×16406165664² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16406165669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4066974 + ... + 4071005.

It is an arithmetic number, because the mean of its divisors is an integer number (740556180).

Almost surely, 2^16406165664 is an apocalyptic number.

16406165664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16406165664 is an abundant number, since it is smaller than the sum of its proper divisors (36913879296).

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

16406165664 is a wasteful number, since it uses less digits than its factorization.

16406165664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8138002 (or 8137991 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 16406165664 in words is "sixteen billion, four hundred six million, one hundred sixty-five thousand, six hundred sixty-four".