14890413262848 has 192 divisors, whose sum is σ = 40047275136960. Its totient is φ = 4919918592000.

The previous prime is 14890413262847. The next prime is 14890413262913. The reversal of 14890413262848 is 84826231409841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×14890413262848² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14890413262791 and 14890413262800.

It is not an unprimeable number, because it can be changed into a prime (14890413262847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581621248 + ... + 581646848.

It is an arithmetic number, because the mean of its divisors is an integer number (208579558005).

Almost surely, 2^{14890413262848} 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 14890413262848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20023637568480).

14890413262848 is an abundant number, since it is smaller than the sum of its proper divisors (25156861874112).

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

14890413262848 is a wasteful number, since it uses less digits than its factorization.

14890413262848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26454 (or 26434 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 60.

The spelling of 14890413262848 in words is "fourteen trillion, eight hundred ninety billion, four hundred thirteen million, two hundred sixty-two thousand, eight hundred forty-eight".