181441974884352 has 1536 divisors, whose sum is σ = 626009873448960. Its totient is φ = 45466158366720.

The previous prime is 181441974884347. The next prime is 181441974884383. The reversal of 181441974884352 is 253488479144181.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166919939553 + ... + 166919940639.

It is an arithmetic number, because the mean of its divisors is an integer number (407558511360).

Almost surely, 2^{181441974884352} is an apocalyptic number.

181441974884352 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 181441974884352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313004936724480).

181441974884352 is an abundant number, since it is smaller than the sum of its proper divisors (444567898564608).

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

181441974884352 is a wasteful number, since it uses less digits than its factorization.

181441974884352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1339 counting only the distinct ones).

The product of its digits is 247726080, while the sum is 69.

The spelling of 181441974884352 in words is "one hundred eighty-one trillion, four hundred forty-one billion, nine hundred seventy-four million, eight hundred eighty-four thousand, three hundred fifty-two".