13601677640000 has 70 divisors (see below), whose sum is σ = 33727740101154. Its totient is φ = 5440671040000.

The previous prime is 13601677639981. The next prime is 13601677640003. The reversal of 13601677640000 is 4677610631.

It can be written as a sum of positive squares in 5 ways, for example, as 3460611913984 + 10141065726016 = 1860272^2 + 3184504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13601677640000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13601677640003) 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 9 ways as a sum of consecutive naturals, for example, 169980971 + ... + 170060970.

Almost surely, 2^{13601677640000} is an apocalyptic number.

13601677640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13601677640000 is an abundant number, since it is smaller than the sum of its proper divisors (20126062461154).

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

13601677640000 is an frugal number, since it uses more digits than its factorization.

13601677640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340041973 (or 340041948 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The spelling of 13601677640000 in words is "thirteen trillion, six hundred one billion, six hundred seventy-seven million, six hundred forty thousand".