1948141696 has 48 divisors (see below), whose sum is σ = 3926106990. Its totient is φ = 962820096.

The previous prime is 1948141661. The next prime is 1948141697. The reversal of 1948141696 is 6961418491.

It can be written as a sum of positive squares in only one way, i.e., 1939521600 + 8620096 = 44040^2 + 2936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948141697) 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 5 ways as a sum of consecutive naturals, for example, 5308105 + ... + 5308471.

Almost surely, 2^1948141696 is an apocalyptic number.

1948141696 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 1948141696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963053495).

1948141696 is an abundant number, since it is smaller than the sum of its proper divisors (1977965294).

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

1948141696 is an frugal number, since it uses more digits than its factorization.

1948141696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 482 counting only the distinct ones).

The product of its digits is 373248, while the sum is 49.

The square root of 1948141696 is about 44137.7581669029. The cubic root of 1948141696 is about 1248.9359897093.

The spelling of 1948141696 in words is "one billion, nine hundred forty-eight million, one hundred forty-one thousand, six hundred ninety-six".