1353614912 has 56 divisors (see below), whose sum is σ = 2947376376. Its totient is φ = 612937728.

The previous prime is 1353614897. The next prime is 1353614917. The reversal of 1353614912 is 2194163531.

It can be written as a sum of positive squares in 4 ways, for example, as 6431296 + 1347183616 = 2536^2 + 36704^2 .

It is not an unprimeable number, because it can be changed into a prime (1353614917) 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 7 ways as a sum of consecutive naturals, for example, 28748 + ... + 59444.

It is an arithmetic number, because the mean of its divisors is an integer number (52631721).

Almost surely, 2^1353614912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353614912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473688188).

1353614912 is an abundant number, since it is smaller than the sum of its proper divisors (1593761464).

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

1353614912 is a wasteful number, since it uses less digits than its factorization.

1353614912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30775 (or 30765 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 1353614912 is about 36791.5059762440. The cubic root of 1353614912 is about 1106.1950481519.

The spelling of 1353614912 in words is "one billion, three hundred fifty-three million, six hundred fourteen thousand, nine hundred twelve".