181254977938944 has 2160 divisors, whose sum is σ = 691943464596384. Its totient is φ = 46186483875840.

The previous prime is 181254977938939. The next prime is 181254977939033. The reversal of 181254977938944 is 449839779452181.

181254977938944 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 5 + 497 + 7 + 9 + 3 + 89 + 44 = 666.

It is a super-2 number, since 2×181254977938944² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 293768197324 + ... + 293768197940.

Almost surely, 2^{181254977938944} is an apocalyptic number.

181254977938944 is a gapful number since it is divisible by the number (14) 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 181254977938944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345971732298192).

181254977938944 is an abundant number, since it is smaller than the sum of its proper divisors (510688486657440).

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

181254977938944 is an frugal number, since it uses more digits than its factorization.

181254977938944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 673 counting only the distinct ones).

The product of its digits is 4389396480, while the sum is 81.

The spelling of 181254977938944 in words is "one hundred eighty-one trillion, two hundred fifty-four billion, nine hundred seventy-seven million, nine hundred thirty-eight thousand, nine hundred forty-four".