481734711765 has 48 divisors (see below), whose sum is σ = 863892123120. Its totient is φ = 248039285760.

The previous prime is 481734711749. The next prime is 481734711841. The reversal of 481734711765 is 567117437184.

481734711765 is a `hidden beast` number, since 48 + 1 + 73 + 471 + 1 + 7 + 65 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19174217841 + 462560493924 = 138471^2 + 680118^2 .

It is not a de Polignac number, because 481734711765 - 2⁴ = 481734711749 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20269129 + ... + 20292881.

It is an arithmetic number, because the mean of its divisors is an integer number (17997752565).

Almost surely, 2^481734711765 is an apocalyptic number.

481734711765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

481734711765 is a deficient number, since it is larger than the sum of its proper divisors (382157411355).

481734711765 is a wasteful number, since it uses less digits than its factorization.

481734711765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39334 (or 39331 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 481734711765 in words is "four hundred eighty-one billion, seven hundred thirty-four million, seven hundred eleven thousand, seven hundred sixty-five".