1481913516096 has 672 divisors, whose sum is σ = 4758569786880. Its totient is φ = 438119497728.

The previous prime is 1481913516089. The next prime is 1481913516119. The reversal of 1481913516096 is 6906153191841.

1481913516096 is a `hidden beast` number, since 1 + 4 + 8 + 19 + 13 + 5 + 1 + 609 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4037911305 + ... + 4037911671.

It is an arithmetic number, because the mean of its divisors is an integer number (7081205040).

Almost surely, 2^{1481913516096} is an apocalyptic number.

1481913516096 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 1481913516096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379284893440).

1481913516096 is an abundant number, since it is smaller than the sum of its proper divisors (3276656270784).

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

1481913516096 is a wasteful number, since it uses less digits than its factorization.

1481913516096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 1481913516096 in words is "one trillion, four hundred eighty-one billion, nine hundred thirteen million, five hundred sixteen thousand, ninety-six".