13468331400 has 96 divisors (see below), whose sum is σ = 42008278560. Its totient is φ = 3569495040.

The previous prime is 13468331363. The next prime is 13468331411. The reversal of 13468331400 is 413386431.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28944 + ... + 166656.

It is an arithmetic number, because the mean of its divisors is an integer number (437586235).

Almost surely, 2^13468331400 is an apocalyptic number.

13468331400 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 13468331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21004139280).

13468331400 is an abundant number, since it is smaller than the sum of its proper divisors (28539947160).

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

13468331400 is a wasteful number, since it uses less digits than its factorization.

13468331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137895 (or 137886 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 13468331400 in words is "thirteen billion, four hundred sixty-eight million, three hundred thirty-one thousand, four hundred".