1478082816 has 360 divisors, whose sum is σ = 5342198400. Its totient is φ = 396804096.

The previous prime is 1478082797. The next prime is 1478082829. The reversal of 1478082816 is 6182808741.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2467285 + ... + 2467883.

It is an arithmetic number, because the mean of its divisors is an integer number (14839440).

Almost surely, 2^1478082816 is an apocalyptic number.

1478082816 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 1478082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671099200).

1478082816 is an abundant number, since it is smaller than the sum of its proper divisors (3864115584).

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

1478082816 is an equidigital number, since it uses as much as digits as its factorization.

1478082816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1478082816 is about 38445.8426361031. The cubic root of 1478082816 is about 1139.1115515431. Note that the first 3 decimals are identical.

The spelling of 1478082816 in words is "one billion, four hundred seventy-eight million, eighty-two thousand, eight hundred sixteen".