1353356944 has 45 divisors (see below), whose sum is σ = 2790603291. Its totient is φ = 635696640.

The previous prime is 1353356933. The next prime is 1353356951. The reversal of 1353356944 is 4496533531.

The square root of 1353356944 is 36788.

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

It can be written as a sum of positive squares in 4 ways, for example, as 49280400 + 1304076544 = 7020^2 + 36112^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1353356944.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2501314 + ... + 2501854.

Almost surely, 2^1353356944 is an apocalyptic number.

1353356944 is the 36788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353356944

1353356944 is an abundant number, since it is smaller than the sum of its proper divisors (1437246347).

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

1353356944 is an frugal number, since it uses more digits than its factorization.

1353356944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 560 counting only the distinct ones).

The product of its digits is 583200, while the sum is 43.

The cubic root of 1353356944 is about 1106.1247718738.

The spelling of 1353356944 in words is "one billion, three hundred fifty-three million, three hundred fifty-six thousand, nine hundred forty-four".