1931811648 has 224 divisors, whose sum is σ = 5687324160. Its totient is φ = 575078400.

The previous prime is 1931811647. The next prime is 1931811649. The reversal of 1931811648 is 8461181391.

It is an interprime number because it is at equal distance from previous prime (1931811647) and next prime (1931811649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1931811647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19126798 + ... + 19126898.

It is an arithmetic number, because the mean of its divisors is an integer number (25389840).

Almost surely, 2^1931811648 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 1931811648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843662080).

1931811648 is an abundant number, since it is smaller than the sum of its proper divisors (3755512512).

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

1931811648 is a wasteful number, since it uses less digits than its factorization.

1931811648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its digits is 41472, while the sum is 42.

The square root of 1931811648 is about 43952.3793212609. The cubic root of 1931811648 is about 1245.4365115060.

The spelling of 1931811648 in words is "one billion, nine hundred thirty-one million, eight hundred eleven thousand, six hundred forty-eight".