1481971274784 has 960 divisors, whose sum is σ = 5881792637952. Its totient is φ = 353503180800.

The previous prime is 1481971274759. The next prime is 1481971274821. The reversal of 1481971274784 is 4874721791841.

1481971274784 is a `hidden beast` number, since 1 + 481 + 9 + 7 + 1 + 2 + 74 + 7 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 547457559 + ... + 547460265.

Almost surely, 2^{1481971274784} is an apocalyptic number.

1481971274784 is a gapful number since it is divisible by the number (14) 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 1481971274784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940896318976).

1481971274784 is an abundant number, since it is smaller than the sum of its proper divisors (4399821363168).

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

1481971274784 is a wasteful number, since it uses less digits than its factorization.

1481971274784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2954 counting only the distinct ones).

The product of its digits is 25288704, while the sum is 63.

The spelling of 1481971274784 in words is "one trillion, four hundred eighty-one billion, nine hundred seventy-one million, two hundred seventy-four thousand, seven hundred eighty-four".