13414542444 has 144 divisors (see below), whose sum is σ = 36695786400. Its totient is φ = 4116676608.

The previous prime is 13414542443. The next prime is 13414542457. The reversal of 13414542444 is 44424541431.

13414542444 is a `hidden beast` number, since 1 + 34 + 145 + 42 + 444 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13414542399 and 13414542408.

It is not an unprimeable number, because it can be changed into a prime (13414542443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5282127 + ... + 5284665.

It is an arithmetic number, because the mean of its divisors is an integer number (254831850).

Almost surely, 2^13414542444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13414542444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18347893200).

13414542444 is an abundant number, since it is smaller than the sum of its proper divisors (23281243956).

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

13414542444 is a wasteful number, since it uses less digits than its factorization.

13414542444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2747 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The spelling of 13414542444 in words is "thirteen billion, four hundred fourteen million, five hundred forty-two thousand, four hundred forty-four".