1931681664 has 384 divisors, whose sum is σ = 6530284800. Its totient is φ = 541900800.

The previous prime is 1931681663. The next prime is 1931681669. The reversal of 1931681664 is 4661861391.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (1931681663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17094472 + ... + 17094584.

It is an arithmetic number, because the mean of its divisors is an integer number (17005950).

Almost surely, 2^1931681664 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 1931681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265142400).

1931681664 is an abundant number, since it is smaller than the sum of its proper divisors (4598603136).

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

1931681664 is a wasteful number, since it uses less digits than its factorization.

1931681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 1931681664 is about 43950.9006051071. The cubic root of 1931681664 is about 1245.4085773730.

The spelling of 1931681664 in words is "one billion, nine hundred thirty-one million, six hundred eighty-one thousand, six hundred sixty-four".