1616713344 has 320 divisors, whose sum is σ = 5257692000. Its totient is φ = 491194368.

The previous prime is 1616713331. The next prime is 1616713369. The reversal of 1616713344 is 4433176161.

1616713344 is a `hidden beast` number, since 1 + 616 + 7 + 1 + 3 + 34 + 4 = 666.

It is a super-2 number, since 2×1616713344² = 5227524073335324672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (36288) is a multiple of the sum of its prime divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 1616713299 and 1616713308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5712627 + ... + 5712909.

Almost surely, 2^1616713344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1616713344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628846000).

1616713344 is an abundant number, since it is smaller than the sum of its proper divisors (3640978656).

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

1616713344 is a wasteful number, since it uses less digits than its factorization.

1616713344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 336 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 1616713344 is about 40208.3740531745. The cubic root of 1616713344 is about 1173.6655062737.

The spelling of 1616713344 in words is "one billion, six hundred sixteen million, seven hundred thirteen thousand, three hundred forty-four".