181994470227072 has 128 divisors (see below), whose sum is σ = 537244648963200. Its totient is φ = 60652604113920.

The previous prime is 181994470227067. The next prime is 181994470227127. The reversal of 181994470227072 is 270722074499181.

181994470227072 is a `hidden beast` number, since 1 + 8 + 1 + 9 + 9 + 4 + 470 + 22 + 70 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11864922 + ... + 22466982.

It is an arithmetic number, because the mean of its divisors is an integer number (4197223820025).

Almost surely, 2^{181994470227072} is an apocalyptic number.

181994470227072 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 181994470227072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268622324481600).

181994470227072 is an abundant number, since it is smaller than the sum of its proper divisors (355250178736128).

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

181994470227072 is a wasteful number, since it uses less digits than its factorization.

181994470227072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10607051 (or 10607033 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 181994470227072 in words is "one hundred eighty-one trillion, nine hundred ninety-four billion, four hundred seventy million, two hundred twenty-seven thousand, seventy-two".