14000492073568 has 576 divisors, whose sum is σ = 40723870521600. Its totient is φ = 4641159720960.

The previous prime is 14000492073553. The next prime is 14000492073569. The reversal of 14000492073568 is 86537029400041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14000492073569) 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, 157585063 + ... + 157673881.

It is an arithmetic number, because the mean of its divisors is an integer number (70701164100).

It is a 1-persistent number, because it is pandigital, but 2⋅14000492073568 = 28000984147136 is not.

Almost surely, 2^{14000492073568} 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 14000492073568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20361935260800).

14000492073568 is an abundant number, since it is smaller than the sum of its proper divisors (26723378448032).

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

14000492073568 is a wasteful number, since it uses less digits than its factorization.

14000492073568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88923 (or 88908 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 14000492073568 in words is "fourteen trillion, four hundred ninety-two million, seventy-three thousand, five hundred sixty-eight".