1413045728656 has 45 divisors (see below), whose sum is σ = 2889638193153. Its totient is φ = 669294656640.

The previous prime is 1413045728593. The next prime is 1413045728657. The reversal of 1413045728656 is 6568275403141.

The square root of 1413045728656 is 1188716.

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

It can be written as a sum of positive squares in only one way, i.e., 1407269728656 + 5776000000 = 1186284^2 + 76000^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1413045728657) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90334596 + ... + 90350236.

Almost surely, 2^{1413045728656} is an apocalyptic number.

1413045728656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1413045728656 is the 1188716-th square number.

It is an amenable number.

1413045728656 is an abundant number, since it is smaller than the sum of its proper divisors (1476592464497).

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

1413045728656 is an frugal number, since it uses more digits than its factorization.

1413045728656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31328 (or 15662 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 1413045728656 in words is "one trillion, four hundred thirteen billion, forty-five million, seven hundred twenty-eight thousand, six hundred fifty-six".