5147448902401 has 27 divisors (see below), whose sum is σ = 5608409895081. Its totient is φ = 4722223787424.

The previous prime is 5147448902383. The next prime is 5147448902447. The reversal of 5147448902401 is 1042098447415.

The square root of 5147448902401 is 2268799.

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

It can be written as a sum of positive squares in 4 ways, for example, as 902942401 + 5146545960000 = 30049^2 + 2268600^2 .

It is not a de Polignac number, because 5147448902401 - 2²⁹ = 5146912031489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5147448942401) 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, 5869382575 + ... + 5869383451.

It is an arithmetic number, because the mean of its divisors is an integer number (207718885003).

Almost surely, 2^{5147448902401} is an apocalyptic number.

5147448902401 is the 2268799-th square number.

5147448902401 is the 1134400-th centered octagonal number.

It is an amenable number.

5147448902401 is a deficient number, since it is larger than the sum of its proper divisors (460960992680).

5147448902401 is an frugal number, since it uses more digits than its factorization.

5147448902401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

Multiplying 5147448902401 by its sum of digits (49), we get a square (252224996217649 = 15881593²).

The spelling of 5147448902401 in words is "five trillion, one hundred forty-seven billion, four hundred forty-eight million, nine hundred two thousand, four hundred one".