481000481481 has 32 divisors (see below), whose sum is σ = 709611477120. Its totient is φ = 287887647744.

The previous prime is 481000481441. The next prime is 481000481497. The reversal of 481000481481 is 184184000184.

It is not a de Polignac number, because 481000481481 - 2¹⁴ = 481000465097 is a prime.

It is a super-3 number, since 3×481000481481³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

481000481481 is a modest number, since divided by 481481 gives 481000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (481000481441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3700906 + ... + 3828668.

It is an arithmetic number, because the mean of its divisors is an integer number (22175358660).

Almost surely, 2^481000481481 is an apocalyptic number.

It is an amenable number.

481000481481 is a deficient number, since it is larger than the sum of its proper divisors (228610995639).

481000481481 is a wasteful number, since it uses less digits than its factorization.

481000481481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130425.

The product of its (nonzero) digits is 32768, while the sum is 39.

The spelling of 481000481481 in words is "four hundred eighty-one billion, four hundred eighty-one thousand, four hundred eighty-one".