13470874532361 has 27 divisors (see below), whose sum is σ = 20152507332711. Its totient is φ = 8670702209904.

The previous prime is 13470874532333. The next prime is 13470874532377. The reversal of 13470874532361 is 16323547807431.

The square root of 13470874532361 is 3670269.

It is a perfect power (a square), and thus also a powerful number.

13470874532361 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 0 + 8 + 74 + 532 + 36 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7063799843961 + 6407074688400 = 2657781^2 + 2531220^2 .

It is not a de Polignac number, because 13470874532361 - 2¹¹ = 13470874530313 is a prime.

It is a super-3 number, since 3×13470874532361³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13470874532298 and 13470874532307.

It is not an unprimeable number, because it can be changed into a prime (13470874532461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 319292310 + ... + 319334496.

Almost surely, 2^{13470874532361} is an apocalyptic number.

13470874532361 is the 3670269-th square number.

13470874532361 is the 1835135-th centered octagonal number.

It is an amenable number.

13470874532361 is a deficient number, since it is larger than the sum of its proper divisors (6681632800350).

13470874532361 is an frugal number, since it uses more digits than its factorization.

13470874532361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84438 (or 42219 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 13470874532361 in words is "thirteen trillion, four hundred seventy billion, eight hundred seventy-four million, five hundred thirty-two thousand, three hundred sixty-one".