1948237488 has 80 divisors (see below), whose sum is σ = 5617080960. Its totient is φ = 646519104.

The previous prime is 1948237469. The next prime is 1948237537. The reversal of 1948237488 is 8847328491.

It is a happy number.

1948237488 is a `hidden beast` number, since 19 + 482 + 3 + 74 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 88131 + ... + 107997.

It is an arithmetic number, because the mean of its divisors is an integer number (70213512).

Almost surely, 2^1948237488 is an apocalyptic number.

1948237488 is a gapful number since it is divisible by the number (18) 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 1948237488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808540480).

1948237488 is an abundant number, since it is smaller than the sum of its proper divisors (3668843472).

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

1948237488 is a wasteful number, since it uses less digits than its factorization.

1948237488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20111 (or 20099 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 1948237488 is about 44138.8433015638. The cubic root of 1948237488 is about 1248.9564598349.

The spelling of 1948237488 in words is "one billion, nine hundred forty-eight million, two hundred thirty-seven thousand, four hundred eighty-eight".