13246464000 has 816 divisors, whose sum is σ = 55943199936. Its totient is φ = 2752512000.

The previous prime is 13246463987. The next prime is 13246464043. The reversal of 13246464000 is 46464231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1204223995 + ... + 1204224005.

Almost surely, 2^13246464000 is an apocalyptic number.

13246464000 is a gapful number since it is divisible by the number (10) 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 13246464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27971599968).

13246464000 is an abundant number, since it is smaller than the sum of its proper divisors (42696735936).

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

13246464000 is an frugal number, since it uses more digits than its factorization.

13246464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 13246464000 in words is "thirteen billion, two hundred forty-six million, four hundred sixty-four thousand".