481993983744 has 576 divisors, whose sum is σ = 1636853514240. Its totient is φ = 122485063680.

The previous prime is 481993983719. The next prime is 481993983767. The reversal of 481993983744 is 447389399184.

It is a happy number.

It is a super-2 number, since 2×481993983744² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 821113819 + ... + 821114405.

Almost surely, 2^481993983744 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 481993983744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818426757120).

481993983744 is an abundant number, since it is smaller than the sum of its proper divisors (1154859530496).

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

481993983744 is a wasteful number, since it uses less digits than its factorization.

481993983744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1022 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 69.

The spelling of 481993983744 in words is "four hundred eighty-one billion, nine hundred ninety-three million, nine hundred eighty-three thousand, seven hundred forty-four".