181623427694352 has 480 divisors, whose sum is σ = 595960149537792. Its totient is φ = 50557969760256.

The previous prime is 181623427694341. The next prime is 181623427694407. The reversal of 181623427694352 is 253496724326181.

181623427694352 is a `hidden beast` number, since 1 + 8 + 1 + 6 + 2 + 3 + 4 + 276 + 9 + 4 + 352 = 666.

181623427694352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 181623427694352.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23535492798 + ... + 23535500514.

Almost surely, 2^{181623427694352} is an apocalyptic number.

181623427694352 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 181623427694352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297980074768896).

181623427694352 is an abundant number, since it is smaller than the sum of its proper divisors (414336721843440).

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

181623427694352 is a wasteful number, since it uses less digits than its factorization.

181623427694352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9975 (or 9966 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 181623427694352 in words is "one hundred eighty-one trillion, six hundred twenty-three billion, four hundred twenty-seven million, six hundred ninety-four thousand, three hundred fifty-two".