1616171672105 has 8 divisors (see below), whose sum is σ = 1939422569352. Its totient is φ = 1292926295808.

The previous prime is 1616171672083. The next prime is 1616171672153. The reversal of 1616171672105 is 5012761716161.

It can be written as a sum of positive squares in 4 ways, for example, as 194361066496 + 1421810605609 = 440864^2 + 1192397^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1616171672105 - 2²⁴ = 1616154894889 is a prime.

It is a super-2 number, since 2×1616171672105² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 706304 + ... + 1931633.

It is an arithmetic number, because the mean of its divisors is an integer number (242427821169).

Almost surely, 2^{1616171672105} is an apocalyptic number.

It is an amenable number.

1616171672105 is a deficient number, since it is larger than the sum of its proper divisors (323250897247).

1616171672105 is a wasteful number, since it uses less digits than its factorization.

1616171672105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760475.

The product of its (nonzero) digits is 105840, while the sum is 44.

The spelling of 1616171672105 in words is "one trillion, six hundred sixteen billion, one hundred seventy-one million, six hundred seventy-two thousand, one hundred five".