14125666248000 has 1792 divisors, whose sum is σ = 56395539532800. Its totient is φ = 3448347033600.

The previous prime is 14125666247939. The next prime is 14125666248007. The reversal of 14125666248000 is 84266652141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14125666248007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24481223712 + ... + 24481224288.

Almost surely, 2^{14125666248000} is an apocalyptic number.

14125666248000 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 14125666248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28197769766400).

14125666248000 is an abundant number, since it is smaller than the sum of its proper divisors (42269873284800).

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

14125666248000 is a wasteful number, since it uses less digits than its factorization.

14125666248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 14125666248000 in words is "fourteen trillion, one hundred twenty-five billion, six hundred sixty-six million, two hundred forty-eight thousand".