1353431646 has 96 divisors (see below), whose sum is σ = 3573434880. Its totient is φ = 378432432.

The previous prime is 1353431603. The next prime is 1353431669. The reversal of 1353431646 is 6461343531.

1353431646 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 4 + 3 + 1 + 646 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1353431646.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118921 + ... + 129803.

It is an arithmetic number, because the mean of its divisors is an integer number (37223280).

Almost surely, 2^1353431646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353431646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786717440).

1353431646 is an abundant number, since it is smaller than the sum of its proper divisors (2220003234).

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

1353431646 is a wasteful number, since it uses less digits than its factorization.

1353431646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10955 (or 10942 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 1353431646 is about 36789.0152898933. The cubic root of 1353431646 is about 1106.1451232952.

The spelling of 1353431646 in words is "one billion, three hundred fifty-three million, four hundred thirty-one thousand, six hundred forty-six".