13345254001044 has 288 divisors, whose sum is σ = 40753649664000. Its totient is φ = 3599636122368.

The previous prime is 13345254001043. The next prime is 13345254001061. The reversal of 13345254001044 is 44010045254331.

13345254001044 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 5 + 2 + 540 + 0 + 104 + 4 = 666.

13345254001044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13345254001043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2142436122 + ... + 2142442350.

It is an arithmetic number, because the mean of its divisors is an integer number (141505728000).

Almost surely, 2^{13345254001044} is an apocalyptic number.

13345254001044 is a gapful number since it is divisible by the number (14) 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 13345254001044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20376824832000).

13345254001044 is an abundant number, since it is smaller than the sum of its proper divisors (27408395662956).

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

13345254001044 is a wasteful number, since it uses less digits than its factorization.

13345254001044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11027 (or 11022 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 13345254001044 its reverse (44010045254331), we get a palindrome (57355299255375).

The spelling of 13345254001044 in words is "thirteen trillion, three hundred forty-five billion, two hundred fifty-four million, one thousand, forty-four".