13378676770305 has 192 divisors, whose sum is σ = 29883898736640. Its totient is φ = 5376125606400.

The previous prime is 13378676770247. The next prime is 13378676770321. The reversal of 13378676770305 is 50307767687331.

13378676770305 is a `hidden beast` number, since 133 + 78 + 6 + 7 + 67 + 70 + 305 = 666.

It is not a de Polignac number, because 13378676770305 - 2¹¹ = 13378676768257 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11934124 + ... + 13006946.

It is an arithmetic number, because the mean of its divisors is an integer number (155645305920).

Almost surely, 2^{13378676770305} is an apocalyptic number.

13378676770305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13378676770305 is an abundant number, since it is smaller than the sum of its proper divisors (16505221966335).

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

13378676770305 is a wasteful number, since it uses less digits than its factorization.

13378676770305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072972 (or 1072969 counting only the distinct ones).

The product of its (nonzero) digits is 93350880, while the sum is 63.

The spelling of 13378676770305 in words is "thirteen trillion, three hundred seventy-eight billion, six hundred seventy-six million, seven hundred seventy thousand, three hundred five".