1948725688 has 64 divisors (see below), whose sum is σ = 4588920000. Its totient is φ = 770910336.

The previous prime is 1948725683. The next prime is 1948725697. The reversal of 1948725688 is 8865278491.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948725683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8358 + ... + 62986.

It is an arithmetic number, because the mean of its divisors is an integer number (71701875).

Almost surely, 2^1948725688 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 1948725688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294460000).

1948725688 is an abundant number, since it is smaller than the sum of its proper divisors (2640194312).

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

1948725688 is a wasteful number, since it uses less digits than its factorization.

1948725688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54669 (or 54651 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 58.

The square root of 1948725688 is about 44144.3732314776. The cubic root of 1948725688 is about 1249.0607745679.

The spelling of 1948725688 in words is "one billion, nine hundred forty-eight million, seven hundred twenty-five thousand, six hundred eighty-eight".