816467456448 has 672 divisors, whose sum is σ = 2959442188800. Its totient is φ = 219469824000.

The previous prime is 816467456443. The next prime is 816467456471. The reversal of 816467456448 is 844654764618.

816467456448 is a `hidden beast` number, since 8 + 1 + 6 + 4 + 67 + 4 + 564 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816467456443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242922288 + ... + 242925648.

Almost surely, 2^816467456448 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 816467456448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479721094400).

816467456448 is an abundant number, since it is smaller than the sum of its proper divisors (2142974732352).

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

816467456448 is a wasteful number, since it uses less digits than its factorization.

816467456448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3543 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 816467456448 in words is "eight hundred sixteen billion, four hundred sixty-seven million, four hundred fifty-six thousand, four hundred forty-eight".