1948183968 has 96 divisors (see below), whose sum is σ = 5215795200. Its totient is φ = 636592896.

The previous prime is 1948183957. The next prime is 1948183999. The reversal of 1948183968 is 8693818491.

1948183968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1106673 + ... + 1108431.

It is an arithmetic number, because the mean of its divisors is an integer number (54331200).

Almost surely, 2^1948183968 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 1948183968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607897600).

1948183968 is an abundant number, since it is smaller than the sum of its proper divisors (3267611232).

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

1948183968 is a wasteful number, since it uses less digits than its factorization.

1948183968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1986 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 57.

The square root of 1948183968 is about 44138.2370286807. The cubic root of 1948183968 is about 1248.9450230427.

The spelling of 1948183968 in words is "one billion, nine hundred forty-eight million, one hundred eighty-three thousand, nine hundred sixty-eight".