481007851841088 has 3024 divisors, whose sum is σ = 1872929292788736. Its totient is φ = 121078904094720.

The previous prime is 481007851841059. The next prime is 481007851841129. The reversal of 481007851841088 is 880148158700184.

481007851841088 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 0 + 7 + 8 + 518 + 4 + 108 + 8 = 666.

It is a super-3 number, since 3×481007851841088³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 192172532445 + ... + 192172534947.

It is an arithmetic number, because the mean of its divisors is an integer number (619354924864).

Almost surely, 2^{481007851841088} is an apocalyptic number.

481007851841088 is a gapful number since it is divisible by the number (48) 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 481007851841088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936464646394368).

481007851841088 is an abundant number, since it is smaller than the sum of its proper divisors (1391921440947648).

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

481007851841088 is a wasteful number, since it uses less digits than its factorization.

481007851841088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 18350080, while the sum is 63.

The spelling of 481007851841088 in words is "four hundred eighty-one trillion, seven billion, eight hundred fifty-one million, eight hundred forty-one thousand, eighty-eight".