14144294001600 has 1512 divisors, whose sum is σ = 62837853536640. Its totient is φ = 3056968304640.

The previous prime is 14144294001479. The next prime is 14144294001613. The reversal of 14144294001600 is 610049244141.

It is a happy number.

14144294001600 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 4 + 2 + 9 + 40 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×14144294001600² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 27044538939 + ... + 27044539461.

Almost surely, 2^{14144294001600} is an apocalyptic number.

14144294001600 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 14144294001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31418926768320).

14144294001600 is an abundant number, since it is smaller than the sum of its proper divisors (48693559535040).

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

14144294001600 is an frugal number, since it uses more digits than its factorization.

14144294001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14144294001600 in words is "fourteen trillion, one hundred forty-four billion, two hundred ninety-four million, one thousand, six hundred".