481556308134880 has 192 divisors, whose sum is σ = 1264708244540160. Its totient is φ = 171792779468800.

The previous prime is 481556308134871. The next prime is 481556308134919. The reversal of 481556308134880 is 88431803655184.

It is a super-2 number, since 2×481556308134880² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46262952 + ... + 55707928.

It is an arithmetic number, because the mean of its divisors is an integer number (6587022106980).

Almost surely, 2^{481556308134880} is an apocalyptic number.

481556308134880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481556308134880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632354122270080).

481556308134880 is an abundant number, since it is smaller than the sum of its proper divisors (783151936405280).

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

481556308134880 is a wasteful number, since it uses less digits than its factorization.

481556308134880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9445553 (or 9445545 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 64.

The spelling of 481556308134880 in words is "four hundred eighty-one trillion, five hundred fifty-six billion, three hundred eight million, one hundred thirty-four thousand, eight hundred eighty".