5348900447361 has 27 divisors (see below), whose sum is σ = 7919650559587. Its totient is φ = 3478774619040.

The previous prime is 5348900447353. The next prime is 5348900447399. The reversal of 5348900447361 is 1637440098435.

The square root of 5348900447361 is 2312769.

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

5348900447361 is a `hidden beast` number, since 5 + 34 + 89 + 0 + 0 + 4 + 473 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 257739997761 + 5091160449600 = 507681^2 + 2256360^2 .

It is not a de Polignac number, because 5348900447361 - 2³ = 5348900447353 is a prime.

It is a super-2 number, since 2×5348900447361² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5348900447298 and 5348900447307.

It is not an unprimeable number, because it can be changed into a prime (5348900447861) 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, 284461186 + ... + 284479988.

Almost surely, 2^{5348900447361} is an apocalyptic number.

5348900447361 is the 2312769-th square number.

5348900447361 is the 1156385-th centered octagonal number.

It is an amenable number.

5348900447361 is a deficient number, since it is larger than the sum of its proper divisors (2570750112226).

5348900447361 is an frugal number, since it uses more digits than its factorization.

5348900447361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37694 (or 18847 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 5348900447361 in words is "five trillion, three hundred forty-eight billion, nine hundred million, four hundred forty-seven thousand, three hundred sixty-one".