13376810342376 has 768 divisors, whose sum is σ = 41963431910400. Its totient is φ = 3966339280896.

The previous prime is 13376810342351. The next prime is 13376810342459. The reversal of 13376810342376 is 67324301867331.

13376810342376 is a `hidden beast` number, since 1 + 3 + 3 + 76 + 81 + 0 + 3 + 423 + 76 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 35862762126 + ... + 35862762498.

It is an arithmetic number, because the mean of its divisors is an integer number (54639885300).

Almost surely, 2^{13376810342376} 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 13376810342376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20981715955200).

13376810342376 is an abundant number, since it is smaller than the sum of its proper divisors (28586621568024).

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

13376810342376 is a wasteful number, since it uses less digits than its factorization.

13376810342376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 13376810342376 in words is "thirteen trillion, three hundred seventy-six billion, eight hundred ten million, three hundred forty-two thousand, three hundred seventy-six".