1349607935808 has 560 divisors, whose sum is σ = 4511660719104. Its totient is φ = 395382850560.

The previous prime is 1349607935801. The next prime is 1349607935813. The reversal of 1349607935808 is 8085397069431.

1349607935808 is a `hidden beast` number, since 1 + 3 + 49 + 6 + 0 + 7 + 9 + 3 + 580 + 8 = 666.

It is a super-2 number, since 2×1349607935808² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349607935801) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 222447591 + ... + 222453657.

Almost surely, 2^{1349607935808} is an apocalyptic number.

1349607935808 is a gapful number since it is divisible by the number (18) 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 1349607935808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255830359552).

1349607935808 is an abundant number, since it is smaller than the sum of its proper divisors (3162052783296).

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

1349607935808 is a wasteful number, since it uses less digits than its factorization.

1349607935808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232 (or 6213 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 1349607935808 in words is "one trillion, three hundred forty-nine billion, six hundred seven million, nine hundred thirty-five thousand, eight hundred eight".