8084510400448 has 112 divisors (see below), whose sum is σ = 17328114086400. Its totient is φ = 3730257377280.

The previous prime is 8084510400419. The next prime is 8084510400493. The reversal of 8084510400448 is 8440040154808.

It is a junction number, because it is equal to n+sod(n) for n = 8084510400398 and 8084510400407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11723868 + ... + 12394276.

Almost surely, 2^{8084510400448} 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 8084510400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664057043200).

8084510400448 is an abundant number, since it is smaller than the sum of its proper divisors (9243603685952).

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

8084510400448 is a wasteful number, since it uses less digits than its factorization.

8084510400448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670698 (or 670688 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 46.

The spelling of 8084510400448 in words is "eight trillion, eighty-four billion, five hundred ten million, four hundred thousand, four hundred forty-eight".