1948480512 has 264 divisors, whose sum is σ = 5976912480. Its totient is φ = 559595520.

The previous prime is 1948480463. The next prime is 1948480519. The reversal of 1948480512 is 2150848491.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948480519) 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 23 ways as a sum of consecutive naturals, for example, 17875914 + ... + 17876022.

It is an arithmetic number, because the mean of its divisors is an integer number (22639820).

Almost surely, 2^1948480512 is an apocalyptic number.

1948480512 is a gapful number since it is divisible by the number (12) 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 1948480512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988456240).

1948480512 is an abundant number, since it is smaller than the sum of its proper divisors (4028431968).

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

1948480512 is a wasteful number, since it uses less digits than its factorization.

1948480512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 1948480512 is about 44141.5961650686. The cubic root of 1948480512 is about 1249.0083894682.

The spelling of 1948480512 in words is "one billion, nine hundred forty-eight million, four hundred eighty thousand, five hundred twelve".