801181446144 has 208 divisors, whose sum is σ = 2184016786560. Its totient is φ = 261144576000.

The previous prime is 801181446139. The next prime is 801181446167. The reversal of 801181446144 is 441644181108.

It is a junction number, because it is equal to n+sod(n) for n = 801181446096 and 801181446105.

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 15 ways as a sum of consecutive naturals, for example, 114434644 + ... + 114441644.

Almost surely, 2^801181446144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801181446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092008393280).

801181446144 is an abundant number, since it is smaller than the sum of its proper divisors (1382835340416).

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

801181446144 is a wasteful number, since it uses less digits than its factorization.

801181446144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7234 (or 7212 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 801181446144 in words is "eight hundred one billion, one hundred eighty-one million, four hundred forty-six thousand, one hundred forty-four".