1349452656 has 240 divisors, whose sum is σ = 4336999200. Its totient is φ = 400287744.

The previous prime is 1349452633. The next prime is 1349452693. The reversal of 1349452656 is 6562549431.

1349452656 is a `hidden beast` number, since 1 + 34 + 94 + 526 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2650930 + ... + 2651438.

It is an arithmetic number, because the mean of its divisors is an integer number (18070830).

Almost surely, 2^1349452656 is an apocalyptic number.

1349452656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349452656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168499600).

1349452656 is an abundant number, since it is smaller than the sum of its proper divisors (2987546544).

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

1349452656 is a wasteful number, since it uses less digits than its factorization.

1349452656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 550 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 1349452656 is about 36734.8969782141. The cubic root of 1349452656 is about 1105.0600640283.

The spelling of 1349452656 in words is "one billion, three hundred forty-nine million, four hundred fifty-two thousand, six hundred fifty-six".