14088941100000 has 432 divisors, whose sum is σ = 53930820644064. Its totient is φ = 3468044160000.

The previous prime is 14088941099939. The next prime is 14088941100019. The reversal of 14088941100000 is 114988041.

It is a super-2 number, since 2×14088941100000² (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 71 ways as a sum of consecutive naturals, for example, 11097909 + ... + 12302091.

It is an arithmetic number, because the mean of its divisors is an integer number (124839862602).

Almost surely, 2^{14088941100000} is an apocalyptic number.

14088941100000 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 14088941100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26965410322032).

14088941100000 is an abundant number, since it is smaller than the sum of its proper divisors (39841879544064).

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

14088941100000 is a wasteful number, since it uses less digits than its factorization.

14088941100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204237 (or 1204206 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 14088941100000 in words is "fourteen trillion, eighty-eight billion, nine hundred forty-one million, one hundred thousand".