481047667776 has 735 divisors, whose sum is σ = 1636376388531. Its totient is φ = 140224421376.

The previous prime is 481047667721. The next prime is 481047667783. The reversal of 481047667776 is 677766740184.

The square root of 481047667776 is 693576.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 238511117376 + 242536550400 = 488376^2 + 492480^2 .

It is a super-3 number, since 3×481047667776³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 25318298295 + ... + 25318298313.

Almost surely, 2^481047667776 is an apocalyptic number.

481047667776 is the 693576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481047667776

481047667776 is an abundant number, since it is smaller than the sum of its proper divisors (1155328720755).

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

481047667776 is an frugal number, since it uses more digits than its factorization.

481047667776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 481047667776 in words is "four hundred eighty-one billion, forty-seven million, six hundred sixty-seven thousand, seven hundred seventy-six".