1481107968 has 120 divisors (see below), whose sum is σ = 4293076788. Its totient is φ = 491569152.

The previous prime is 1481107961. The next prime is 1481107973. The reversal of 1481107968 is 8697011841.

It is a happy number.

1481107968 is a `hidden beast` number, since 1 + 481 + 107 + 9 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1441569024 + 39538944 = 37968^2 + 6288^2 .

It is not an unprimeable number, because it can be changed into a prime (1481107961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1349596 + ... + 1350692.

Almost surely, 2^1481107968 is an apocalyptic number.

1481107968 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 1481107968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146538394).

1481107968 is an abundant number, since it is smaller than the sum of its proper divisors (2811968820).

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

1481107968 is a wasteful number, since it uses less digits than its factorization.

1481107968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 1481107968 is about 38485.1655576535. The cubic root of 1481107968 is about 1139.8881515381. Note that the first 3 decimals are identical.

The spelling of 1481107968 in words is "one billion, four hundred eighty-one million, one hundred seven thousand, nine hundred sixty-eight".