13442253000 has 384 divisors, whose sum is σ = 48550320000. Its totient is φ = 3085632000.

The previous prime is 13442252977. The next prime is 13442253007. The reversal of 13442253000 is 35224431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13442253007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6896026 + ... + 6897974.

It is an arithmetic number, because the mean of its divisors is an integer number (126433125).

Almost surely, 2^13442253000 is an apocalyptic number.

13442253000 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 13442253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24275160000).

13442253000 is an abundant number, since it is smaller than the sum of its proper divisors (35108067000).

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

13442253000 is a wasteful number, since it uses less digits than its factorization.

13442253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 13442253000 its reverse (35224431), we get a palindrome (13477477431).

The spelling of 13442253000 in words is "thirteen billion, four hundred forty-two million, two hundred fifty-three thousand".