13771679409306 has 192 divisors, whose sum is σ = 37409459942400. Its totient is φ = 3586109739264.

The previous prime is 13771679409263. The next prime is 13771679409331. The reversal of 13771679409306 is 60390497617731.

13771679409306 is a `hidden beast` number, since 1 + 37 + 7 + 167 + 9 + 409 + 30 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21554070 + ... + 22183806.

It is an arithmetic number, because the mean of its divisors is an integer number (194840937200).

Almost surely, 2^{13771679409306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13771679409306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18704729971200).

13771679409306 is an abundant number, since it is smaller than the sum of its proper divisors (23637780533094).

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

13771679409306 is a wasteful number, since it uses less digits than its factorization.

13771679409306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629870 (or 629841 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 63.

The spelling of 13771679409306 in words is "thirteen trillion, seven hundred seventy-one billion, six hundred seventy-nine million, four hundred nine thousand, three hundred six".