4889669612256 has 768 divisors, whose sum is σ = 17699326848000. Its totient is φ = 1291149434880.

The previous prime is 4889669612209. The next prime is 4889669612263. The reversal of 4889669612256 is 6522169669884.

4889669612256 is a `hidden beast` number, since 488 + 9 + 6 + 6 + 96 + 1 + 2 + 2 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 687810430 + ... + 687817538.

It is an arithmetic number, because the mean of its divisors is an integer number (23045998500).

Almost surely, 2^{4889669612256} 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 4889669612256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8849663424000).

4889669612256 is an abundant number, since it is smaller than the sum of its proper divisors (12809657235744).

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

4889669612256 is a wasteful number, since it uses less digits than its factorization.

4889669612256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7464 (or 7450 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 72.

The spelling of 4889669612256 in words is "four trillion, eight hundred eighty-nine billion, six hundred sixty-nine million, six hundred twelve thousand, two hundred fifty-six".