1948408021 has 12 divisors (see below), whose sum is σ = 2267367660. Its totient is φ = 1669436160.

The previous prime is 1948408013. The next prime is 1948408079. The reversal of 1948408021 is 1208048491.

It can be written as a sum of positive squares in 2 ways, for example, as 410670225 + 1537737796 = 20265^2 + 39214^2 .

It is not a de Polignac number, because 1948408021 - 2³ = 1948408013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948408081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163845 + ... + 175333.

It is an arithmetic number, because the mean of its divisors is an integer number (188947305).

Almost surely, 2^1948408021 is an apocalyptic number.

It is an amenable number.

1948408021 is a deficient number, since it is larger than the sum of its proper divisors (318959639).

1948408021 is a wasteful number, since it uses less digits than its factorization.

1948408021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14964 (or 14957 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 1948408021 is about 44140.7750385061. The cubic root of 1948408021 is about 1248.9928999642.

The spelling of 1948408021 in words is "one billion, nine hundred forty-eight million, four hundred eight thousand, twenty-one".