481071845772 has 36 divisors (see below), whose sum is σ = 1389763110736. Its totient is φ = 137449098720.

The previous prime is 481071845767. The next prime is 481071845777. The reversal of 481071845772 is 277548170184.

It is a happy number.

481071845772 is a `hidden beast` number, since 4 + 8 + 107 + 18 + 457 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (481071845767) and next prime (481071845777).

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (481071845777) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 954507379 + ... + 954507882.

Almost surely, 2^481071845772 is an apocalyptic number.

481071845772 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

481071845772 is an abundant number, since it is smaller than the sum of its proper divisors (908691264964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

481071845772 is a wasteful number, since it uses less digits than its factorization.

481071845772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909015278 (or 1909015273 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 481071845772 in words is "four hundred eighty-one billion, seventy-one million, eight hundred forty-five thousand, seven hundred seventy-two".