1353945616 has 15 divisors (see below), whose sum is σ = 2623554831. Its totient is φ = 676899216.

The previous prime is 1353945611. The next prime is 1353945631. The reversal of 1353945616 is 6165493531.

It is a happy number.

The square root of 1353945616 is 36796.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1353945611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 142585 + ... + 151783.

Almost surely, 2^1353945616 is an apocalyptic number.

1353945616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1353945616 is the 36796-th square number.

It is an amenable number.

1353945616 is a deficient number, since it is larger than the sum of its proper divisors (1269609215).

1353945616 is an frugal number, since it uses more digits than its factorization.

1353945616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18406 (or 9201 counting only the distinct ones).

The product of its digits is 291600, while the sum is 43.

The cubic root of 1353945616 is about 1106.2851262916.

Multiplying 1353945616 by its product of digits (291600), we get a square (394810541625600 = 19869840²).

The spelling of 1353945616 in words is "one billion, three hundred fifty-three million, nine hundred forty-five thousand, six hundred sixteen".