1473145367824 has 135 divisors (see below), whose sum is σ = 3285554376333. Its totient is φ = 639452276736.

The previous prime is 1473145367803. The next prime is 1473145367839. The reversal of 1473145367824 is 4287635413741.

The square root of 1473145367824 is 1213732.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 59976010000 + 1413169357824 = 244900^2 + 1188768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1072938402 + ... + 1072939774.

Almost surely, 2^{1473145367824} is an apocalyptic number.

1473145367824 is the 1213732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1473145367824

1473145367824 is an abundant number, since it is smaller than the sum of its proper divisors (1812409008509).

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

1473145367824 is an equidigital number, since it uses as much as digits as its factorization.

1473145367824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 1405 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 55.

The spelling of 1473145367824 in words is "one trillion, four hundred seventy-three billion, one hundred forty-five million, three hundred sixty-seven thousand, eight hundred twenty-four".