1616416384 has 128 divisors (see below), whose sum is σ = 3754252800. Its totient is φ = 685977600.

The previous prime is 1616416381. The next prime is 1616416387. The reversal of 1616416384 is 4836146161.

It is an interprime number because it is at equal distance from previous prime (1616416381) and next prime (1616416387).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1616416384³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1616416381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1265154 + ... + 1266430.

It is an arithmetic number, because the mean of its divisors is an integer number (29330100).

Almost surely, 2^1616416384 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 1616416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877126400).

1616416384 is an abundant number, since it is smaller than the sum of its proper divisors (2137836416).

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

1616416384 is a wasteful number, since it uses less digits than its factorization.

1616416384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1350 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 1616416384 is about 40204.6811204865. The cubic root of 1616416384 is about 1173.5936417403.

The spelling of 1616416384 in words is "one billion, six hundred sixteen million, four hundred sixteen thousand, three hundred eighty-four".