1364317248 has 224 divisors, whose sum is σ = 4255820800. Its totient is φ = 377726976.

The previous prime is 1364317217. The next prime is 1364317259. The reversal of 1364317248 is 8427134631.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1364317248² = 3722723106380587008, which contains 22 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9815163 + ... + 9815301.

It is an arithmetic number, because the mean of its divisors is an integer number (18999200).

Almost surely, 2^1364317248 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 1364317248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127910400).

1364317248 is an abundant number, since it is smaller than the sum of its proper divisors (2891503552).

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

1364317248 is a wasteful number, since it uses less digits than its factorization.

1364317248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 1364317248 is about 36936.6653611286. The cubic root of 1364317248 is about 1109.1027697965.

The spelling of 1364317248 in words is "one billion, three hundred sixty-four million, three hundred seventeen thousand, two hundred forty-eight".