1881171226368 has 504 divisors, whose sum is σ = 6454792224608. Its totient is φ = 535757193216.

The previous prime is 1881171226357. The next prime is 1881171226369. The reversal of 1881171226368 is 8636221711881.

1881171226368 is a `hidden beast` number, since 18 + 81 + 171 + 2 + 26 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1881171226369) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 440243880 + ... + 440248152.

Almost surely, 2^{1881171226368} is an apocalyptic number.

1881171226368 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 1881171226368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227396112304).

1881171226368 is an abundant number, since it is smaller than the sum of its proper divisors (4573620998240).

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

1881171226368 is an frugal number, since it uses more digits than its factorization.

1881171226368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4651 (or 4622 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 1881171226368 in words is "one trillion, eight hundred eighty-one billion, one hundred seventy-one million, two hundred twenty-six thousand, three hundred sixty-eight".