1293649344 has 168 divisors, whose sum is σ = 4122797952. Its totient is φ = 385136640.

The previous prime is 1293649321. The next prime is 1293649361. The reversal of 1293649344 is 4439463921.

1293649344 is a `hidden beast` number, since 129 + 36 + 493 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1293649344.

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 23 ways as a sum of consecutive naturals, for example, 229342 + ... + 234914.

It is an arithmetic number, because the mean of its divisors is an integer number (24540464).

Almost surely, 2^1293649344 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 1293649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061398976).

1293649344 is an abundant number, since it is smaller than the sum of its proper divisors (2829148608).

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

1293649344 is a wasteful number, since it uses less digits than its factorization.

1293649344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635 (or 5622 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 1293649344 is about 35967.3371825049. The cubic root of 1293649344 is about 1089.6127861774.

The spelling of 1293649344 in words is "one billion, two hundred ninety-three million, six hundred forty-nine thousand, three hundred forty-four".