181395181513728 has 5280 divisors, whose sum is σ = 765538199769600. Its totient is φ = 42180344414208.

The previous prime is 181395181513627. The next prime is 181395181513787. The reversal of 181395181513728 is 827315181593181.

181395181513728 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 95 + 1 + 8 + 1 + 513 + 7 + 28 = 666.

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

Its product of digits (14515200) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4902572473326 + ... + 4902572473362.

Almost surely, 2^{181395181513728} is an apocalyptic number.

181395181513728 is a gapful number since it is divisible by the number (18) 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 181395181513728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382769099884800).

181395181513728 is an abundant number, since it is smaller than the sum of its proper divisors (584143018255872).

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

181395181513728 is a wasteful number, since it uses less digits than its factorization.

181395181513728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 104 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 63.

The spelling of 181395181513728 in words is "one hundred eighty-one trillion, three hundred ninety-five billion, one hundred eighty-one million, five hundred thirteen thousand, seven hundred twenty-eight".