13418335970676 has 288 divisors, whose sum is σ = 44221474402560. Its totient is φ = 3329231818752.

The previous prime is 13418335970623. The next prime is 13418335970717. The reversal of 13418335970676 is 67607953381431.

13418335970676 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 8 + 33 + 597 + 0 + 6 + 7 + 6 = 666.

It is a super-2 number, since 2×13418335970676² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 126312055 + ... + 126418241.

It is an arithmetic number, because the mean of its divisors is an integer number (153546786120).

Almost surely, 2^{13418335970676} 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 13418335970676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22110737201280).

13418335970676 is an abundant number, since it is smaller than the sum of its proper divisors (30803138431884).

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

13418335970676 is a wasteful number, since it uses less digits than its factorization.

13418335970676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108503 (or 108498 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 13418335970676 in words is "thirteen trillion, four hundred eighteen billion, three hundred thirty-five million, nine hundred seventy thousand, six hundred seventy-six".