481971119805 has 32 divisors (see below), whose sum is σ = 979242912000. Its totient is φ = 220329654336.

The previous prime is 481971119803. The next prime is 481971119809. The reversal of 481971119805 is 508911179184.

481971119805 is a `hidden beast` number, since 481 + 9 + 71 + 1 + 1 + 98 + 0 + 5 = 666.

It is not a de Polignac number, because 481971119805 - 2¹ = 481971119803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481971119803) 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, 255010230 + ... + 255012119.

It is an arithmetic number, because the mean of its divisors is an integer number (30601341000).

Almost surely, 2^481971119805 is an apocalyptic number.

481971119805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

481971119805 is an abundant number, since it is smaller than the sum of its proper divisors (497271792195).

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

481971119805 is a wasteful number, since it uses less digits than its factorization.

481971119805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510022370 (or 510022364 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 54.

The spelling of 481971119805 in words is "four hundred eighty-one billion, nine hundred seventy-one million, one hundred nineteen thousand, eight hundred five".