13441442161664 has 176 divisors, whose sum is σ = 31017762210816. Its totient is φ = 5761786060800.

The previous prime is 13441442161663. The next prime is 13441442161673. The reversal of 13441442161664 is 46616124414431.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×13441442161664² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13441442161663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18028739 + ... + 18759485.

Almost surely, 2^{13441442161664} 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 13441442161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15508881105408).

13441442161664 is an abundant number, since it is smaller than the sum of its proper divisors (17576320049152).

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

13441442161664 is a wasteful number, since it uses less digits than its factorization.

13441442161664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730872 (or 730854 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 47.

The spelling of 13441442161664 in words is "thirteen trillion, four hundred forty-one billion, four hundred forty-two million, one hundred sixty-one thousand, six hundred sixty-four".