8499905766144 has 1440 divisors, whose sum is σ = 31176535642560. Its totient is φ = 2274125414400.

The previous prime is 8499905766139. The next prime is 8499905766199. The reversal of 8499905766144 is 4416675099948.

8499905766144 is a `hidden beast` number, since 8 + 4 + 9 + 9 + 9 + 0 + 576 + 6 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3569887834 + ... + 3569890214.

It is an arithmetic number, because the mean of its divisors is an integer number (21650371974).

Almost surely, 2^{8499905766144} 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 8499905766144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15588267821280).

8499905766144 is an abundant number, since it is smaller than the sum of its proper divisors (22676629876416).

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

8499905766144 is a wasteful number, since it uses less digits than its factorization.

8499905766144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 8499905766144 in words is "eight trillion, four hundred ninety-nine billion, nine hundred five million, seven hundred sixty-six thousand, one hundred forty-four".