13421423664 has 120 divisors (see below), whose sum is σ = 41008370832. Its totient is φ = 4063887360.

The previous prime is 13421423651. The next prime is 13421423669. The reversal of 13421423664 is 46632412431.

It is a super-2 number, since 2×13421423664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (13421423669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2685552 + ... + 2690544.

Almost surely, 2^13421423664 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 13421423664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20504185416).

13421423664 is an abundant number, since it is smaller than the sum of its proper divisors (27586947168).

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

13421423664 is a wasteful number, since it uses less digits than its factorization.

13421423664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715 (or 6706 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 13421423664 in words is "thirteen billion, four hundred twenty-one million, four hundred twenty-three thousand, six hundred sixty-four".