38009411505 has 48 divisors (see below), whose sum is σ = 70975182096. Its totient is φ = 18705922560.

The previous prime is 38009411381. The next prime is 38009411509. The reversal of 38009411505 is 50511490083.

38009411505 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 8 ways, for example, as 96648561 + 37912762944 = 9831^2 + 194712^2 .

It is not a de Polignac number, because 38009411505 - 2⁸ = 38009411249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38009411505.

It is not an unprimeable number, because it can be changed into a prime (38009411509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2015299 + ... + 2034071.

It is an arithmetic number, because the mean of its divisors is an integer number (1478649627).

Almost surely, 2^38009411505 is an apocalyptic number.

It is an amenable number.

38009411505 is a deficient number, since it is larger than the sum of its proper divisors (32965770591).

38009411505 is a wasteful number, since it uses less digits than its factorization.

38009411505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22258 (or 22255 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 38009411505 in words is "thirty-eight billion, nine million, four hundred eleven thousand, five hundred five".