1473791616 has 288 divisors, whose sum is σ = 4752848100. Its totient is φ = 437944320.

The previous prime is 1473791593. The next prime is 1473791633. The reversal of 1473791616 is 6161973741.

It can be written as a sum of positive squares in 2 ways, for example, as 1465358400 + 8433216 = 38280^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13520970 + ... + 13521078.

Almost surely, 2^1473791616 is an apocalyptic number.

1473791616 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 1473791616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376424050).

1473791616 is an abundant number, since it is smaller than the sum of its proper divisors (3279056484).

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

1473791616 is a wasteful number, since it uses less digits than its factorization.

1473791616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 222 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 1473791616 is about 38389.9936962746. The cubic root of 1473791616 is about 1138.0081190999.

The spelling of 1473791616 in words is "one billion, four hundred seventy-three million, seven hundred ninety-one thousand, six hundred sixteen".