181287005472 has 192 divisors, whose sum is σ = 533998080000. Its totient is φ = 59831654400.

The previous prime is 181287005401. The next prime is 181287005507. The reversal of 181287005472 is 274500782181.

181287005472 is a `hidden beast` number, since 1 + 81 + 28 + 7 + 0 + 0 + 547 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65945154 + ... + 65947902.

It is an arithmetic number, because the mean of its divisors is an integer number (2781240000).

Almost surely, 2^181287005472 is an apocalyptic number.

181287005472 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 181287005472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266999040000).

181287005472 is an abundant number, since it is smaller than the sum of its proper divisors (352711074528).

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

181287005472 is a wasteful number, since it uses less digits than its factorization.

181287005472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 181287005472 in words is "one hundred eighty-one billion, two hundred eighty-seven million, five thousand, four hundred seventy-two".