13306507066944 has 1120 divisors, whose sum is σ = 49211154913536. Its totient is φ = 3461770690560.

The previous prime is 13306507066943. The next prime is 13306507067053. The reversal of 13306507066944 is 44966070560331.

13306507066944 is a `hidden beast` number, since 1 + 3 + 30 + 6 + 507 + 0 + 6 + 69 + 44 = 666.

It is a super-2 number, since 2×13306507066944² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13306507066943) 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 159 ways as a sum of consecutive naturals, for example, 12174296862 + ... + 12174297954.

Almost surely, 2^{13306507066944} is an apocalyptic number.

13306507066944 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 13306507066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24605577456768).

13306507066944 is an abundant number, since it is smaller than the sum of its proper divisors (35904647846592).

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

13306507066944 is a wasteful number, since it uses less digits than its factorization.

13306507066944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 13306507066944 in words is "thirteen trillion, three hundred six billion, five hundred seven million, sixty-six thousand, nine hundred forty-four".