13734144000 has 384 divisors, whose sum is σ = 50798966400. Its totient is φ = 3660595200.

The previous prime is 13734143947. The next prime is 13734144019. The reversal of 13734144000 is 44143731.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×13734144000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6911007 + ... + 6912993.

It is an arithmetic number, because the mean of its divisors is an integer number (132288975).

Almost surely, 2^13734144000 is an apocalyptic number.

13734144000 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 13734144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25399483200).

13734144000 is an abundant number, since it is smaller than the sum of its proper divisors (37064822400).

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

13734144000 is an equidigital number, since it uses as much as digits as its factorization.

13734144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 13734144000 its reverse (44143731), we get a palindrome (13778287731).

The spelling of 13734144000 in words is "thirteen billion, seven hundred thirty-four million, one hundred forty-four thousand".