47127363345 has 24 divisors (see below), whose sum is σ = 81698159400. Its totient is φ = 25131292416.

The previous prime is 47127363343. The next prime is 47127363359. The reversal of 47127363345 is 54336372174.

47127363345 is a `hidden beast` number, since 4 + 7 + 1 + 2 + 7 + 3 + 633 + 4 + 5 = 666.

47127363345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3037442769 + 44089920576 = 55113^2 + 209976^2 .

It is not a de Polignac number, because 47127363345 - 2¹ = 47127363343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 47127363345.

It is not an unprimeable number, because it can be changed into a prime (47127363341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299271 + ... + 428739.

It is an arithmetic number, because the mean of its divisors is an integer number (3404089975).

Almost surely, 2^47127363345 is an apocalyptic number.

47127363345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47127363345 is a deficient number, since it is larger than the sum of its proper divisors (34570796055).

47127363345 is a wasteful number, since it uses less digits than its factorization.

47127363345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137569 (or 137566 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The spelling of 47127363345 in words is "forty-seven billion, one hundred twenty-seven million, three hundred sixty-three thousand, three hundred forty-five".