181007364096 has 364 divisors, whose sum is σ = 584579612848. Its totient is φ = 55682629632.

The previous prime is 181007364089. The next prime is 181007364101. The reversal of 181007364096 is 690463700181.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 38815461 + ... + 38820123.

Almost surely, 2^181007364096 is an apocalyptic number.

181007364096 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 181007364096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292289806424).

181007364096 is an abundant number, since it is smaller than the sum of its proper divisors (403572248752).

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

181007364096 is an frugal number, since it uses more digits than its factorization.

181007364096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 181007364096 in words is "one hundred eighty-one billion, seven million, three hundred sixty-four thousand, ninety-six".