481186202112 has 1440 divisors, whose sum is σ = 1863742712832. Its totient is φ = 116785152000.

The previous prime is 481186202051. The next prime is 481186202141. The reversal of 481186202112 is 211202681184.

481186202112 is a `hidden beast` number, since 4 + 8 + 1 + 1 + 8 + 620 + 21 + 1 + 2 = 666.

It is a super-2 number, since 2×481186202112² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 4960682448 + ... + 4960682544.

Almost surely, 2^481186202112 is an apocalyptic number.

481186202112 is a gapful number since it is divisible by the number (42) 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 481186202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931871356416).

481186202112 is an abundant number, since it is smaller than the sum of its proper divisors (1382556510720).

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

481186202112 is a wasteful number, since it uses less digits than its factorization.

481186202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Adding to 481186202112 its reverse (211202681184), we get a palindrome (692388883296).

The spelling of 481186202112 in words is "four hundred eighty-one billion, one hundred eighty-six million, two hundred two thousand, one hundred twelve".