1481716896 has 96 divisors (see below), whose sum is σ = 4275887616. Its totient is φ = 445536000.

The previous prime is 1481716891. The next prime is 1481716909. The reversal of 1481716896 is 6986171841.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1481716891) 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 15 ways as a sum of consecutive naturals, for example, 132981 + ... + 143691.

It is an arithmetic number, because the mean of its divisors is an integer number (44540496).

Almost surely, 2^1481716896 is an apocalyptic number.

1481716896 is a gapful number since it is divisible by the number (16) 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 1481716896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137943808).

1481716896 is an abundant number, since it is smaller than the sum of its proper divisors (2794170720).

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

1481716896 is a wasteful number, since it uses less digits than its factorization.

1481716896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10866 (or 10858 counting only the distinct ones).

The product of its digits is 580608, while the sum is 51.

The square root of 1481716896 is about 38493.0759487989. The cubic root of 1481716896 is about 1140.0443442277.

It can be divided in two parts, 14817 and 16896, that added together give a palindrome (31713).

The spelling of 1481716896 in words is "one billion, four hundred eighty-one million, seven hundred sixteen thousand, eight hundred ninety-six".