1349824291368 has 512 divisors, whose sum is σ = 4238510976000. Its totient is φ = 349524983808.

The previous prime is 1349824291337. The next prime is 1349824291399. The reversal of 1349824291368 is 8631924289431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1349824291337) and next prime (1349824291399).

It is a super-2 number, since 2×1349824291368² (a number of 25 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 2187721396 + ... + 2187722012.

It is an arithmetic number, because the mean of its divisors is an integer number (8278341750).

Almost surely, 2^{1349824291368} 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 1349824291368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119255488000).

1349824291368 is an abundant number, since it is smaller than the sum of its proper divisors (2888686684632).

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

1349824291368 is a wasteful number, since it uses less digits than its factorization.

1349824291368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 945 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 60.

The spelling of 1349824291368 in words is "one trillion, three hundred forty-nine billion, eight hundred twenty-four million, two hundred ninety-one thousand, three hundred sixty-eight".