181493604864 has 360 divisors, whose sum is σ = 618787149552. Its totient is φ = 50765045760.

The previous prime is 181493604857. The next prime is 181493604869. The reversal of 181493604864 is 468406394181.

181493604864 is a `hidden beast` number, since 1 + 8 + 14 + 93 + 60 + 486 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 181493604864.

It is not an unprimeable number, because it can be changed into a prime (181493604869) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 8555679 + ... + 8576865.

Almost surely, 2^181493604864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181493604864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309393574776).

181493604864 is an abundant number, since it is smaller than the sum of its proper divisors (437293544688).

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

181493604864 is a wasteful number, since it uses less digits than its factorization.

181493604864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21248 (or 21216 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 181493604864 in words is "one hundred eighty-one billion, four hundred ninety-three million, six hundred four thousand, eight hundred sixty-four".