181401327297918 has 192 divisors, whose sum is σ = 486494095127040. Its totient is φ = 47569717552896.

The previous prime is 181401327297913. The next prime is 181401327297919. The reversal of 181401327297918 is 819792723104181.

181401327297918 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 0 + 1 + 327 + 297 + 9 + 18 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181401327297913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 522255021 + ... + 522602247.

It is an arithmetic number, because the mean of its divisors is an integer number (2533823412120).

Almost surely, 2^{181401327297918} is an apocalyptic number.

181401327297918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 181401327297918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243247047563520).

181401327297918 is an abundant number, since it is smaller than the sum of its proper divisors (305092767829122).

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

181401327297918 is a wasteful number, since it uses less digits than its factorization.

181401327297918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349071 (or 349068 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 181401327297918 in words is "one hundred eighty-one trillion, four hundred one billion, three hundred twenty-seven million, two hundred ninety-seven thousand, nine hundred eighteen".