1447086816 has 384 divisors, whose sum is σ = 5201280000. Its totient is φ = 390168576.

The previous prime is 1447086803. The next prime is 1447086821. The reversal of 1447086816 is 6186807441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5630560 + ... + 5630816.

It is an arithmetic number, because the mean of its divisors is an integer number (13545000).

Almost surely, 2^1447086816 is an apocalyptic number.

1447086816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1447086816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600640000).

1447086816 is an abundant number, since it is smaller than the sum of its proper divisors (3754193184).

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

1447086816 is a wasteful number, since it uses less digits than its factorization.

1447086816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1447086816 is about 38040.5943171239. The cubic root of 1447086816 is about 1131.0926898825.

The spelling of 1447086816 in words is "one billion, four hundred forty-seven million, eighty-six thousand, eight hundred sixteen".