1616886144 has 128 divisors (see below), whose sum is σ = 4798080000. Its totient is φ = 536025600.

The previous prime is 1616886121. The next prime is 1616886157. The reversal of 1616886144 is 4416886161.

1616886144 is a `hidden beast` number, since 16 + 16 + 8 + 8 + 614 + 4 = 666.

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

It is a super-2 number, since 2×1616886144² = 5228641605318377472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1616886144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686569 + ... + 688919.

It is an arithmetic number, because the mean of its divisors is an integer number (37485000).

Almost surely, 2^1616886144 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 1616886144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399040000).

1616886144 is an abundant number, since it is smaller than the sum of its proper divisors (3181193856).

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

1616886144 is a wasteful number, since it uses less digits than its factorization.

1616886144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2555 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 1616886144 is about 40210.5228018736. The cubic root of 1616886144 is about 1173.7073199477.

The spelling of 1616886144 in words is "one billion, six hundred sixteen million, eight hundred eighty-six thousand, one hundred forty-four".