13065177348 has 36 divisors (see below), whose sum is σ = 34968564540. Its totient is φ = 4098878976.

The previous prime is 13065177317. The next prime is 13065177361. The reversal of 13065177348 is 84377156031.

13065177348 is a `hidden beast` number, since 130 + 6 + 5 + 177 + 348 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8769947904 + 4295229444 = 93648^2 + 65538^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10673553 + ... + 10674776.

It is an arithmetic number, because the mean of its divisors is an integer number (971349015).

Almost surely, 2^13065177348 is an apocalyptic number.

13065177348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13065177348 is an abundant number, since it is smaller than the sum of its proper divisors (21903387192).

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

13065177348 is a wasteful number, since it uses less digits than its factorization.

13065177348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21348356 (or 21348351 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 13065177348 in words is "thirteen billion, sixty-five million, one hundred seventy-seven thousand, three hundred forty-eight".