14144427038016 has 336 divisors, whose sum is σ = 46626246770688. Its totient is φ = 4059669427200.

The previous prime is 14144427037981. The next prime is 14144427038029. The reversal of 14144427038016 is 61083072444141.

14144427038016 is a `hidden beast` number, since 1 + 4 + 144 + 427 + 0 + 3 + 80 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8465461 + ... + 9997643.

Almost surely, 2^{14144427038016} is an apocalyptic number.

14144427038016 is a gapful number since it is divisible by the number (16) 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 14144427038016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23313123385344).

14144427038016 is an abundant number, since it is smaller than the sum of its proper divisors (32481819732672).

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

14144427038016 is a wasteful number, since it uses less digits than its factorization.

14144427038016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532290 (or 1532277 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14144427038016 in words is "fourteen trillion, one hundred forty-four billion, four hundred twenty-seven million, thirty-eight thousand, sixteen".