14446557330348 has 576 divisors, whose sum is σ = 42128957767680. Its totient is φ = 3819862126080.

The previous prime is 14446557330329. The next prime is 14446557330389. The reversal of 14446557330348 is 84303375564441.

It is a happy number.

It is a super-2 number, since 2×14446557330348² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26410525011 + ... + 26410525557.

It is an arithmetic number, because the mean of its divisors is an integer number (73140551680).

Almost surely, 2^{14446557330348} 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 14446557330348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21064478883840).

14446557330348 is an abundant number, since it is smaller than the sum of its proper divisors (27682400437332).

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

14446557330348 is a wasteful number, since it uses less digits than its factorization.

14446557330348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 57.

The spelling of 14446557330348 in words is "fourteen trillion, four hundred forty-six billion, five hundred fifty-seven million, three hundred thirty thousand, three hundred forty-eight".