1616419776309 has 48 divisors (see below), whose sum is σ = 2344210675200. Its totient is φ = 990277524288.

The previous prime is 1616419776281. The next prime is 1616419776317. The reversal of 1616419776309 is 9036779146161.

It is not a de Polignac number, because 1616419776309 - 2²⁴ = 1616402999093 is a prime.

It is a super-2 number, since 2×1616419776309² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616419776359) 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 47 ways as a sum of consecutive naturals, for example, 112658874 + ... + 112673220.

It is an arithmetic number, because the mean of its divisors is an integer number (48837722400).

Almost surely, 2^{1616419776309} is an apocalyptic number.

It is an amenable number.

1616419776309 is a deficient number, since it is larger than the sum of its proper divisors (727790898891).

1616419776309 is a wasteful number, since it uses less digits than its factorization.

1616419776309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15354 (or 15341 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 60.

The spelling of 1616419776309 in words is "one trillion, six hundred sixteen billion, four hundred nineteen million, seven hundred seventy-six thousand, three hundred nine".