481027672045 has 32 divisors (see below), whose sum is σ = 620082177120. Its totient is φ = 357524213760.

The previous prime is 481027672033. The next prime is 481027672051. The reversal of 481027672045 is 540276720184.

It can be written as a sum of positive squares in 16 ways, for example, as 358545871369 + 122481800676 = 598787^2 + 349974^2 .

It is not a de Polignac number, because 481027672045 - 2¹⁵ = 481027639277 is a prime.

It is a super-3 number, since 3×481027672045³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 481027671986 and 481027672004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120214 + ... + 988183.

It is an arithmetic number, because the mean of its divisors is an integer number (19377568035).

Almost surely, 2^481027672045 is an apocalyptic number.

It is an amenable number.

481027672045 is a deficient number, since it is larger than the sum of its proper divisors (139054505075).

481027672045 is a wasteful number, since it uses less digits than its factorization.

481027672045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108545.

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 481027672045 in words is "four hundred eighty-one billion, twenty-seven million, six hundred seventy-two thousand, forty-five".