13905436977349 has 16 divisors (see below), whose sum is σ = 14653548501760. Its totient is φ = 13158953496000.

The previous prime is 13905436977307. The next prime is 13905436977353. The reversal of 13905436977349 is 94377963450931.

It is a cyclic number.

It is not a de Polignac number, because 13905436977349 - 2¹⁹ = 13905436453061 is a prime.

It is a super-2 number, since 2×13905436977349² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13905436977359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163510459 + ... + 163595479.

It is an arithmetic number, because the mean of its divisors is an integer number (915846781360).

Almost surely, 2^{13905436977349} is an apocalyptic number.

13905436977349 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

13905436977349 is a deficient number, since it is larger than the sum of its proper divisors (748111524411).

13905436977349 is a wasteful number, since it uses less digits than its factorization.

13905436977349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94492.

The product of its (nonzero) digits is 462944160, while the sum is 70.

The spelling of 13905436977349 in words is "thirteen trillion, nine hundred five billion, four hundred thirty-six million, nine hundred seventy-seven thousand, three hundred forty-nine".