481832181600 has 1152 divisors, whose sum is σ = 2035453722624. Its totient is φ = 96076800000.

The previous prime is 481832181599. The next prime is 481832181613. The reversal of 481832181600 is 6181238184.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 865048522 + ... + 865049078.

It is an arithmetic number, because the mean of its divisors is an integer number (1766886912).

Almost surely, 2^481832181600 is an apocalyptic number.

481832181600 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 481832181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017726861312).

481832181600 is an abundant number, since it is smaller than the sum of its proper divisors (1553621541024).

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

481832181600 is a wasteful number, since it uses less digits than its factorization.

481832181600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 481832181600 in words is "four hundred eighty-one billion, eight hundred thirty-two million, one hundred eighty-one thousand, six hundred".