481835372594688 has 3360 divisors, whose sum is σ = 1860500285360640. Its totient is φ = 124004087488512.

The previous prime is 481835372594671. The next prime is 481835372594689. The reversal of 481835372594688 is 886495273538184.

481835372594688 is a `hidden beast` number, since 4 + 8 + 1 + 8 + 35 + 3 + 72 + 59 + 468 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481835372594689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2885241751981 + ... + 2885241752147.

It is an arithmetic number, because the mean of its divisors is an integer number (553720323024).

Almost surely, 2^{481835372594688} is an apocalyptic number.

481835372594688 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 481835372594688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930250142680320).

481835372594688 is an abundant number, since it is smaller than the sum of its proper divisors (1378664912765952).

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

481835372594688 is an frugal number, since it uses more digits than its factorization.

481835372594688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 221 counting only the distinct ones).

The product of its digits is 11147673600, while the sum is 81.

The spelling of 481835372594688 in words is "four hundred eighty-one trillion, eight hundred thirty-five billion, three hundred seventy-two million, five hundred ninety-four thousand, six hundred eighty-eight".