1481875968 has 80 divisors (see below), whose sum is σ = 4155671520. Its totient is φ = 467951616.

The previous prime is 1481875963. The next prime is 1481875991. The reversal of 1481875968 is 8695781841.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (1481875963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3796 + ... + 54572.

It is an arithmetic number, because the mean of its divisors is an integer number (51945894).

Almost surely, 2^1481875968 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 1481875968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077835760).

1481875968 is an abundant number, since it is smaller than the sum of its proper divisors (2673795552).

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

1481875968 is an equidigital number, since it uses as much as digits as its factorization.

1481875968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50817 (or 50801 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 57.

The square root of 1481875968 is about 38495.1421350798. The cubic root of 1481875968 is about 1140.0851398401.

The spelling of 1481875968 in words is "one billion, four hundred eighty-one million, eight hundred seventy-five thousand, nine hundred sixty-eight".