481308766452657 has 72 divisors (see below), whose sum is σ = 839437777301760. Its totient is φ = 261986248782720.

The previous prime is 481308766452637. The next prime is 481308766452769. The reversal of 481308766452657 is 756254667803184.

481308766452657 is a `hidden beast` number, since 4 + 8 + 1 + 30 + 8 + 7 + 6 + 64 + 526 + 5 + 7 = 666.

It is not a de Polignac number, because 481308766452657 - 2¹⁸ = 481308766190513 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (481308766452607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134825857 + ... + 138349662.

It is an arithmetic number, because the mean of its divisors is an integer number (11658858018080).

Almost surely, 2^{481308766452657} is an apocalyptic number.

It is an amenable number.

481308766452657 is a deficient number, since it is larger than the sum of its proper divisors (358129010849103).

481308766452657 is a wasteful number, since it uses less digits than its factorization.

481308766452657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273175623 (or 273175583 counting only the distinct ones).

The product of its (nonzero) digits is 1625702400, while the sum is 72.

The spelling of 481308766452657 in words is "four hundred eighty-one trillion, three hundred eight billion, seven hundred sixty-six million, four hundred fifty-two thousand, six hundred fifty-seven".