181814097346560 has 4032 divisors, whose sum is σ = 835424427801600. Its totient is φ = 36985305563136.

The previous prime is 181814097346537. The next prime is 181814097346573. The reversal of 181814097346560 is 65643790418181.

181814097346560 is a `hidden beast` number, since 1 + 8 + 1 + 8 + 1 + 40 + 9 + 73 + 465 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4913894522862 + ... + 4913894522898.

It is an arithmetic number, because the mean of its divisors is an integer number (207198518800).

Almost surely, 2^{181814097346560} is an apocalyptic number.

181814097346560 is a gapful number since it is divisible by the number (10) 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 181814097346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417712213900800).

181814097346560 is an abundant number, since it is smaller than the sum of its proper divisors (653610330455040).

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

181814097346560 is an frugal number, since it uses more digits than its factorization.

181814097346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 181814097346560 in words is "one hundred eighty-one trillion, eight hundred fourteen billion, ninety-seven million, three hundred forty-six thousand, five hundred sixty".