13643002968 has 96 divisors (see below), whose sum is σ = 39827842560. Its totient is φ = 3883091520.

The previous prime is 13643002957. The next prime is 13643002969. The reversal of 13643002968 is 86920034631.

It is a super-2 number, since 2×13643002968² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13643002969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287233 + ... + 331343.

It is an arithmetic number, because the mean of its divisors is an integer number (414873360).

Almost surely, 2^13643002968 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 13643002968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19913921280).

13643002968 is an abundant number, since it is smaller than the sum of its proper divisors (26184839592).

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

13643002968 is a wasteful number, since it uses less digits than its factorization.

13643002968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44397 (or 44386 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 13643002968 in words is "thirteen billion, six hundred forty-three million, two thousand, nine hundred sixty-eight".