13022416416 has 48 divisors (see below), whose sum is σ = 34522322688. Its totient is φ = 4297824000.

The previous prime is 13022416397. The next prime is 13022416427. The reversal of 13022416416 is 61461422031.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 661840 + ... + 681231.

It is an arithmetic number, because the mean of its divisors is an integer number (719215056).

Almost surely, 2^13022416416 is an apocalyptic number.

13022416416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13022416416 is an abundant number, since it is smaller than the sum of its proper divisors (21499906272).

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

13022416416 is a wasteful number, since it uses less digits than its factorization.

13022416416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343185 (or 1343177 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 13022416416 its reverse (61461422031), we get a palindrome (74483838447).

The spelling of 13022416416 in words is "thirteen billion, twenty-two million, four hundred sixteen thousand, four hundred sixteen".