181998541494432 has 384 divisors, whose sum is σ = 605330009222400. Its totient is φ = 52701912465408.

The previous prime is 181998541494421. The next prime is 181998541494479. The reversal of 181998541494432 is 234494145899181.

181998541494432 is a `hidden beast` number, since 1 + 8 + 1 + 9 + 9 + 8 + 541 + 4 + 9 + 44 + 32 = 666.

181998541494432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×181998541494432² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4462149943 + ... + 4462190729.

It is an arithmetic number, because the mean of its divisors is an integer number (1576380232350).

Almost surely, 2^{181998541494432} is an apocalyptic number.

181998541494432 is a gapful number since it is divisible by the number (12) 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 181998541494432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302665004611200).

181998541494432 is an abundant number, since it is smaller than the sum of its proper divisors (423331467727968).

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

181998541494432 is a wasteful number, since it uses less digits than its factorization.

181998541494432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64205 (or 64191 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 181998541494432 in words is "one hundred eighty-one trillion, nine hundred ninety-eight billion, five hundred forty-one million, four hundred ninety-four thousand, four hundred thirty-two".