481056951936 has 256 divisors, whose sum is σ = 1469268057600. Its totient is φ = 137920942080.

The previous prime is 481056951929. The next prime is 481056951941. The reversal of 481056951936 is 639159650184.

It is a super-3 number, since 3×481056951936³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68454855 + ... + 68461881.

It is an arithmetic number, because the mean of its divisors is an integer number (5739328350).

Almost surely, 2^481056951936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481056951936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734634028800).

481056951936 is an abundant number, since it is smaller than the sum of its proper divisors (988211105664).

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

481056951936 is a wasteful number, since it uses less digits than its factorization.

481056951936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7927 (or 7915 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 57.

The spelling of 481056951936 in words is "four hundred eighty-one billion, fifty-six million, nine hundred fifty-one thousand, nine hundred thirty-six".