13705185377 has 8 divisors (see below), whose sum is σ = 14764083264. Its totient is φ = 12646952208.

The previous prime is 13705185353. The next prime is 13705185379. The reversal of 13705185377 is 77358150731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13705185377 - 2¹⁸ = 13704923233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13705185379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122933 + ... + 206210.

It is an arithmetic number, because the mean of its divisors is an integer number (1845510408).

Almost surely, 2^13705185377 is an apocalyptic number.

It is an amenable number.

13705185377 is a deficient number, since it is larger than the sum of its proper divisors (1058897887).

13705185377 is a wasteful number, since it uses less digits than its factorization.

13705185377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332359.

The product of its (nonzero) digits is 617400, while the sum is 47.

The spelling of 13705185377 in words is "thirteen billion, seven hundred five million, one hundred eighty-five thousand, three hundred seventy-seven".