1616483616 has 96 divisors (see below), whose sum is σ = 4636735488. Its totient is φ = 489027840.

The previous prime is 1616483599. The next prime is 1616483629. The reversal of 1616483616 is 6163846161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1616483616² = 5226038561592870912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 1020361 + ... + 1021943.

It is an arithmetic number, because the mean of its divisors is an integer number (48299328).

Almost surely, 2^1616483616 is an apocalyptic number.

1616483616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1616483616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318367744).

1616483616 is an abundant number, since it is smaller than the sum of its proper divisors (3020251872).

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

1616483616 is a wasteful number, since it uses less digits than its factorization.

1616483616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2566 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 1616483616 is about 40205.5172333350. The cubic root of 1616483616 is about 1173.6099127033.

The spelling of 1616483616 in words is "one billion, six hundred sixteen million, four hundred eighty-three thousand, six hundred sixteen".