13365382155664 has 120 divisors (see below), whose sum is σ = 32943688406496. Its totient is φ = 5194304640000.

The previous prime is 13365382155617. The next prime is 13365382155673. The reversal of 13365382155664 is 46655128356331.

It is a junction number, because it is equal to n+sod(n) for n = 13365382155599 and 13365382155608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1525819 + ... + 5390629.

Almost surely, 2^{13365382155664} is an apocalyptic number.

13365382155664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13365382155664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16471844203248).

13365382155664 is an abundant number, since it is smaller than the sum of its proper divisors (19578306250832).

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

13365382155664 is a wasteful number, since it uses less digits than its factorization.

13365382155664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865245 (or 3865232 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 58.

The spelling of 13365382155664 in words is "thirteen trillion, three hundred sixty-five billion, three hundred eighty-two million, one hundred fifty-five thousand, six hundred sixty-four".