181211988672 has 672 divisors, whose sum is σ = 662647392000. Its totient is φ = 48004669440.

The previous prime is 181211988667. The next prime is 181211988707. The reversal of 181211988672 is 276889112181.

It is a super-2 number, since 2×181211988672² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61033204 + ... + 61036172.

Almost surely, 2^181211988672 is an apocalyptic number.

181211988672 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 181211988672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331323696000).

181211988672 is an abundant number, since it is smaller than the sum of its proper divisors (481435403328).

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

181211988672 is a wasteful number, since it uses less digits than its factorization.

181211988672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3017 counting only the distinct ones).

The product of its digits is 774144, while the sum is 54.

The spelling of 181211988672 in words is "one hundred eighty-one billion, two hundred eleven million, nine hundred eighty-eight thousand, six hundred seventy-two".