13643213376 has 224 divisors, whose sum is σ = 40003463808. Its totient is φ = 4077158400.

The previous prime is 13643213323. The next prime is 13643213383. The reversal of 13643213376 is 67331234631.

It is a super-2 number, since 2×13643213376² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34022776 + ... + 34023176.

It is an arithmetic number, because the mean of its divisors is an integer number (178586892).

Almost surely, 2^13643213376 is an apocalyptic number.

13643213376 is a gapful number since it is divisible by the number (16) 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 13643213376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20001731904).

13643213376 is an abundant number, since it is smaller than the sum of its proper divisors (26360250432).

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

13643213376 is a wasteful number, since it uses less digits than its factorization.

13643213376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 779 counting only the distinct ones).

The product of its digits is 163296, while the sum is 39.

The spelling of 13643213376 in words is "thirteen billion, six hundred forty-three million, two hundred thirteen thousand, three hundred seventy-six".