4212891648 has 280 divisors, whose sum is σ = 14399739552. Its totient is φ = 1202356224.

The previous prime is 4212891619. The next prime is 4212891653. The reversal of 4212891648 is 8461982124.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4644411 + ... + 4645317.

Almost surely, 2^4212891648 is an apocalyptic number.

4212891648 is a gapful number since it is divisible by the number (48) 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 4212891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7199869776).

4212891648 is an abundant number, since it is smaller than the sum of its proper divisors (10186847904).

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

4212891648 is an frugal number, since it uses more digits than its factorization.

4212891648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 919 counting only the distinct ones).

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

The square root of 4212891648 is about 64906.7920020702. The cubic root of 4212891648 is about 1615.0777340558.

The spelling of 4212891648 in words is "four billion, two hundred twelve million, eight hundred ninety-one thousand, six hundred forty-eight".