181368495423648 has 144 divisors (see below), whose sum is σ = 556146796304736. Its totient is φ = 55734780602880.

The previous prime is 181368495423637. The next prime is 181368495423779. The reversal of 181368495423648 is 846324594863181.

181368495423648 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 6 + 8 + 4 + 9 + 542 + 36 + 48 = 666.

181368495423648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×181368495423648² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27830118 + ... + 33723173.

It is an arithmetic number, because the mean of its divisors is an integer number (3862130529894).

Almost surely, 2^{181368495423648} is an apocalyptic number.

181368495423648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

181368495423648 is an abundant number, since it is smaller than the sum of its proper divisors (374778300881088).

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

181368495423648 is a wasteful number, since it uses less digits than its factorization.

181368495423648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61554107 (or 61554096 counting only the distinct ones).

The product of its digits is 955514880, while the sum is 72.

The spelling of 181368495423648 in words is "one hundred eighty-one trillion, three hundred sixty-eight billion, four hundred ninety-five million, four hundred twenty-three thousand, six hundred forty-eight".