181668077103072 has 192 divisors, whose sum is σ = 562696151076864. Its totient is φ = 50220881694720.

The previous prime is 181668077103049. The next prime is 181668077103091. The reversal of 181668077103072 is 270301770866181.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104905228 + ... + 106622900.

It is an arithmetic number, because the mean of its divisors is an integer number (2930709120192).

Almost surely, 2^{181668077103072} is an apocalyptic number.

181668077103072 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 181668077103072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281348075538432).

181668077103072 is an abundant number, since it is smaller than the sum of its proper divisors (381028073973792).

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

181668077103072 is a wasteful number, since it uses less digits than its factorization.

181668077103072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722801 (or 1722793 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 57.

The spelling of 181668077103072 in words is "one hundred eighty-one trillion, six hundred sixty-eight billion, seventy-seven million, one hundred three thousand, seventy-two".