13478216070361 has 27 divisors (see below), whose sum is σ = 16655811612447. Its totient is φ = 10872830270400.

The previous prime is 13478216070331. The next prime is 13478216070377. The reversal of 13478216070361 is 16307061287431.

The square root of 13478216070361 is 3671269.

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

It can be written as a sum of positive squares in only one way, i.e., 10493420816025 + 2984795254336 = 3239355^2 + 1727656^2 .

It is not a de Polignac number, because 13478216070361 - 2⁹ = 13478216069849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (13478216070301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 436865586 + ... + 436896436.

Almost surely, 2^{13478216070361} is an apocalyptic number.

13478216070361 is the 3671269-th square number.

13478216070361 is the 1835635-th centered octagonal number.

It is an amenable number.

13478216070361 is a deficient number, since it is larger than the sum of its proper divisors (3177595542086).

13478216070361 is an frugal number, since it uses more digits than its factorization.

13478216070361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61750 (or 30875 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

Multiplying 13478216070361 by its sum of digits (49), we get a square (660432587447689 = 25698883²).

13478216070361 divided by its sum of digits (49) gives a square (275065634089 = 524467²).

The spelling of 13478216070361 in words is "thirteen trillion, four hundred seventy-eight billion, two hundred sixteen million, seventy thousand, three hundred sixty-one".