481590204545856 has 672 divisors, whose sum is σ = 1608236602785792. Its totient is φ = 126439135764480.

The previous prime is 481590204545819. The next prime is 481590204545893. The reversal of 481590204545856 is 658545402095184.

It is an interprime number because it is at equal distance from previous prime (481590204545819) and next prime (481590204545893).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×481590204545856² (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 95 ways as a sum of consecutive naturals, for example, 918720825 + ... + 919244871.

It is an arithmetic number, because the mean of its divisors is an integer number (2393209230336).

Almost surely, 2^{481590204545856} is an apocalyptic number.

481590204545856 is a gapful number since it is divisible by the number (46) 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 481590204545856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804118301392896).

481590204545856 is an abundant number, since it is smaller than the sum of its proper divisors (1126646398239936).

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

481590204545856 is a wasteful number, since it uses less digits than its factorization.

481590204545856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524267 (or 524250 counting only the distinct ones).

The product of its (nonzero) digits is 276480000, while the sum is 66.

The spelling of 481590204545856 in words is "four hundred eighty-one trillion, five hundred ninety billion, two hundred four million, five hundred forty-five thousand, eight hundred fifty-six".