181340018496 has 1008 divisors, whose sum is σ = 682990963200. Its totient is φ = 45542891520.

The previous prime is 181340018473. The next prime is 181340018569. The reversal of 181340018496 is 694810043181.

181340018496 is a `hidden beast` number, since 1 + 81 + 3 + 400 + 1 + 84 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1217047030 + ... + 1217047178.

It is an arithmetic number, because the mean of its divisors is an integer number (677570400).

Almost surely, 2^181340018496 is an apocalyptic number.

181340018496 is a gapful number since it is divisible by the number (16) 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 181340018496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341495481600).

181340018496 is an abundant number, since it is smaller than the sum of its proper divisors (501650944704).

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

181340018496 is a wasteful number, since it uses less digits than its factorization.

181340018496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 181340018496 in words is "one hundred eighty-one billion, three hundred forty million, eighteen thousand, four hundred ninety-six".