481306523065744 has 80 divisors (see below), whose sum is σ = 989393142339648. Its totient is φ = 226036977094656.

The previous prime is 481306523065733. The next prime is 481306523065783. The reversal of 481306523065744 is 447560325603184.

It is a super-3 number, since 3×481306523065744³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 734218987 + ... + 734874229.

Almost surely, 2^{481306523065744} 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 481306523065744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494696571169824).

481306523065744 is an abundant number, since it is smaller than the sum of its proper divisors (508086619273904).

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

481306523065744 is a wasteful number, since it uses less digits than its factorization.

481306523065744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660752 (or 660746 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 58.

The spelling of 481306523065744 in words is "four hundred eighty-one trillion, three hundred six billion, five hundred twenty-three million, sixty-five thousand, seven hundred forty-four".