181368617472 has 480 divisors, whose sum is σ = 628751185920. Its totient is φ = 49207910400.

The previous prime is 181368617431. The next prime is 181368617483. The reversal of 181368617472 is 274716863181.

181368617472 is a `hidden beast` number, since 1 + 8 + 13 + 6 + 8 + 617 + 4 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112024279 + ... + 112025897.

It is an arithmetic number, because the mean of its divisors is an integer number (1309898304).

Almost surely, 2^181368617472 is an apocalyptic number.

181368617472 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 181368617472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314375592960).

181368617472 is an abundant number, since it is smaller than the sum of its proper divisors (447382568448).

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

181368617472 is a wasteful number, since it uses less digits than its factorization.

181368617472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1805 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 181368617472 in words is "one hundred eighty-one billion, three hundred sixty-eight million, six hundred seventeen thousand, four hundred seventy-two".