481468066641 has 9 divisors (see below), whose sum is σ = 695456880859. Its totient is φ = 320977323336.

The previous prime is 481468066589. The next prime is 481468066759. The reversal of 481468066641 is 146660864184.

The square root of 481468066641 is 693879.

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

It can be written as a sum of positive squares in only one way, i.e., 458362850625 + 23105216016 = 677025^2 + 152004^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 481468066641 - 2¹¹ = 481468064593 is a prime.

It is a super-2 number, since 2×481468066641² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (481468062641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1965991 + ... + 2197283.

Almost surely, 2^481468066641 is an apocalyptic number.

481468066641 is the 693879-th square number.

481468066641 is the 346940-th centered octagonal number.

It is an amenable number.

481468066641 is a deficient number, since it is larger than the sum of its proper divisors (213988814218).

481468066641 is an frugal number, since it uses more digits than its factorization.

481468066641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462592 (or 231296 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 481468066641 in words is "four hundred eighty-one billion, four hundred sixty-eight million, sixty-six thousand, six hundred forty-one".