8444954036805 has 768 divisors, whose sum is σ = 18585184665600. Its totient is φ = 3214909440000.

The previous prime is 8444954036803. The next prime is 8444954036819. The reversal of 8444954036805 is 5086304594448.

It is a happy number.

It is not a de Polignac number, because 8444954036805 - 2¹ = 8444954036803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8444954036803) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 36877528431 + ... + 36877528659.

It is an arithmetic number, because the mean of its divisors is an integer number (24199459200).

Almost surely, 2^{8444954036805} is an apocalyptic number.

8444954036805 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8444954036805 is an abundant number, since it is smaller than the sum of its proper divisors (10140230628795).

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

8444954036805 is a wasteful number, since it uses less digits than its factorization.

8444954036805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 60.

The spelling of 8444954036805 in words is "eight trillion, four hundred forty-four billion, nine hundred fifty-four million, thirty-six thousand, eight hundred five".