1606534216416 has 72 divisors (see below), whose sum is σ = 4680010533744. Its totient is φ = 522450147840.

The previous prime is 1606534216351. The next prime is 1606534216451. The reversal of 1606534216416 is 6146124356061.

1606534216416 is a `hidden beast` number, since 1 + 60 + 6 + 534 + 2 + 16 + 41 + 6 = 666.

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

It is a super-2 number, since 2×1606534216416² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68015556 + ... + 68039171.

It is an arithmetic number, because the mean of its divisors is an integer number (65000146302).

Almost surely, 2^{1606534216416} is an apocalyptic number.

1606534216416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1606534216416 is an abundant number, since it is smaller than the sum of its proper divisors (3073476317328).

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

1606534216416 is a wasteful number, since it uses less digits than its factorization.

1606534216416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136054784 (or 136054773 counting only the distinct ones).

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

The spelling of 1606534216416 in words is "one trillion, six hundred six billion, five hundred thirty-four million, two hundred sixteen thousand, four hundred sixteen".