1616410123361 has 32 divisors (see below), whose sum is σ = 1970484019200. Its totient is φ = 1306811854080.

The previous prime is 1616410123337. The next prime is 1616410123379. The reversal of 1616410123361 is 1633210146161.

It is a cyclic number.

It is not a de Polignac number, because 1616410123361 - 2³⁰ = 1615336381537 is a prime.

It is a super-2 number, since 2×1616410123361² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1616410123301) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 766880 + ... + 1954718.

It is an arithmetic number, because the mean of its divisors is an integer number (61577625600).

Almost surely, 2^{1616410123361} is an apocalyptic number.

1616410123361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1616410123361 is a deficient number, since it is larger than the sum of its proper divisors (354073895839).

1616410123361 is a wasteful number, since it uses less digits than its factorization.

1616410123361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188269.

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 1616410123361 in words is "one trillion, six hundred sixteen billion, four hundred ten million, one hundred twenty-three thousand, three hundred sixty-one".