181172216564040 has 256 divisors, whose sum is σ = 616893913440000. Its totient is φ = 42196838105088.

The previous prime is 181172216563967. The next prime is 181172216564123. The reversal of 181172216564040 is 40465612271181.

It is a super-2 number, since 2×181172216564040² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20200996 + ... + 27756524.

It is an arithmetic number, because the mean of its divisors is an integer number (2409741849375).

Almost surely, 2^{181172216564040} is an apocalyptic number.

181172216564040 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 181172216564040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308446956720000).

181172216564040 is an abundant number, since it is smaller than the sum of its proper divisors (435721696875960).

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

181172216564040 is a wasteful number, since it uses less digits than its factorization.

181172216564040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7556384 (or 7556380 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 181172216564040 in words is "one hundred eighty-one trillion, one hundred seventy-two billion, two hundred sixteen million, five hundred sixty-four thousand, forty".