13701164909085 has 48 divisors (see below), whose sum is σ = 25153827925824. Its totient is φ = 6875215535616.

The previous prime is 13701164909083. The next prime is 13701164909087. The reversal of 13701164909085 is 58090946110731.

13701164909085 is a `hidden beast` number, since 1 + 3 + 70 + 1 + 1 + 6 + 490 + 9 + 0 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (13701164909083) and next prime (13701164909087).

It is not a de Polignac number, because 13701164909085 - 2¹ = 13701164909083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13701164909083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 546147 + ... + 5263136.

It is an arithmetic number, because the mean of its divisors is an integer number (524038081788).

Almost surely, 2^{13701164909085} is an apocalyptic number.

13701164909085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13701164909085 is a deficient number, since it is larger than the sum of its proper divisors (11452663016739).

13701164909085 is a wasteful number, since it uses less digits than its factorization.

13701164909085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5812394 (or 5812391 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 13701164909085 in words is "thirteen trillion, seven hundred one billion, one hundred sixty-four million, nine hundred nine thousand, eighty-five".