14115211648000 has 352 divisors, whose sum is σ = 37196118355968. Its totient is φ = 5336819712000.

The previous prime is 14115211647997. The next prime is 14115211648007. The reversal of 14115211648000 is 84611251141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14115211648007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170582637 + ... + 170665363.

It is an arithmetic number, because the mean of its divisors is an integer number (105670790784).

Almost surely, 2^{14115211648000} is an apocalyptic number.

14115211648000 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 14115211648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18598059177984).

14115211648000 is an abundant number, since it is smaller than the sum of its proper divisors (23080906707968).

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

14115211648000 is an equidigital number, since it uses as much as digits as its factorization.

14115211648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82836 (or 82808 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

Adding to 14115211648000 its reverse (84611251141), we get a palindrome (14199822899141).

The spelling of 14115211648000 in words is "fourteen trillion, one hundred fifteen billion, two hundred eleven million, six hundred forty-eight thousand".