14416229228544 has 1792 divisors, whose sum is σ = 53949465400320. Its totient is φ = 3783838924800.

The previous prime is 14416229228509. The next prime is 14416229228623. The reversal of 14416229228544 is 44582292261441.

14416229228544 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 6 + 2 + 2 + 92 + 2 + 8 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43553562459 + ... + 43553562789.

It is an arithmetic number, because the mean of its divisors is an integer number (30105728460).

Almost surely, 2^{14416229228544} 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 14416229228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26974732700160).

14416229228544 is an abundant number, since it is smaller than the sum of its proper divisors (39533236171776).

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

14416229228544 is an equidigital number, since it uses as much as digits as its factorization.

14416229228544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 377 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 14416229228544 in words is "fourteen trillion, four hundred sixteen billion, two hundred twenty-nine million, two hundred twenty-eight thousand, five hundred forty-four".