16442023643460 has 72 divisors (see below), whose sum is σ = 52807911241176. Its totient is φ = 4126625541120.

The previous prime is 16442023643447. The next prime is 16442023643473. The reversal of 16442023643460 is 6434632024461.

16442023643460 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 202 + 3 + 6 + 434 + 6 + 0 = 666.

16442023643460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16442023643447) and next prime (16442023643473).

It can be written as a sum of positive squares in 4 ways, for example, as 8423600694336 + 8018422949124 = 2902344^2 + 2831682^2 .

It is a super-3 number, since 3×16442023643460³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2686602111 + ... + 2686608230.

It is an arithmetic number, because the mean of its divisors is an integer number (733443211683).

Almost surely, 2^{16442023643460} is an apocalyptic number.

16442023643460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16442023643460 is an abundant number, since it is smaller than the sum of its proper divisors (36365887597716).

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

16442023643460 is a wasteful number, since it uses less digits than its factorization.

16442023643460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5373210373 (or 5373210368 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 16442023643460 in words is "sixteen trillion, four hundred forty-two billion, twenty-three million, six hundred forty-three thousand, four hundred sixty".