1948721696 has 48 divisors (see below), whose sum is σ = 4072098744. Its totient is φ = 914817024.

The previous prime is 1948721657. The next prime is 1948721699. The reversal of 1948721696 is 6961278491.

It can be written as a sum of positive squares in 4 ways, for example, as 1744231696 + 204490000 = 41764^2 + 14300^2 .

It is a super-2 number, since 2×1948721696² = 7595032496922232832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1948721699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231416 + ... + 239688.

Almost surely, 2^1948721696 is an apocalyptic number.

1948721696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1948721696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036049372).

1948721696 is an abundant number, since it is smaller than the sum of its proper divisors (2123377048).

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

1948721696 is a wasteful number, since it uses less digits than its factorization.

1948721696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8733 (or 8725 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 53.

The square root of 1948721696 is about 44144.3280161789. The cubic root of 1948721696 is about 1249.0599216594.

The spelling of 1948721696 in words is "one billion, nine hundred forty-eight million, seven hundred twenty-one thousand, six hundred ninety-six".