13444402500 has 135 divisors (see below), whose sum is σ = 42521992513. Its totient is φ = 3580536000.

The previous prime is 13444402453. The next prime is 13444402507. The reversal of 13444402500 is 520444431.

It is a happy number.

The square root of 13444402500 is 115950.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 13433273604 + 11128896 = 115902^2 + 3336^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13444402507) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17392114 + ... + 17392886.

Almost surely, 2^13444402500 is an apocalyptic number.

13444402500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13444402500 is the 115950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13444402500

13444402500 is an abundant number, since it is smaller than the sum of its proper divisors (29077590013).

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

13444402500 is an frugal number, since it uses more digits than its factorization.

13444402500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 13444402500 its reverse (520444431), we get a palindrome (13964846931).

The spelling of 13444402500 in words is "thirteen billion, four hundred forty-four million, four hundred two thousand, five hundred".