1891296216 has 192 divisors, whose sum is σ = 5544957600. Its totient is φ = 603417600.

The previous prime is 1891296193. The next prime is 1891296217. The reversal of 1891296216 is 6126921981.

1891296216 is a `hidden beast` number, since 1 + 8 + 9 + 12 + 9 + 621 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1891296217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4861750 + ... + 4862138.

Almost surely, 2^1891296216 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 1891296216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772478800).

1891296216 is an abundant number, since it is smaller than the sum of its proper divisors (3653661384).

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

1891296216 is a wasteful number, since it uses less digits than its factorization.

1891296216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 496 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 1891296216 is about 43489.0355836963. The cubic root of 1891296216 is about 1236.6681748718.

The spelling of 1891296216 in words is "one billion, eight hundred ninety-one million, two hundred ninety-six thousand, two hundred sixteen".