49338145305 has 96 divisors (see below), whose sum is σ = 90212548608. Its totient is φ = 25863364800.

The previous prime is 49338145267. The next prime is 49338145313. The reversal of 49338145305 is 50354183394.

49338145305 is a `hidden beast` number, since 4 + 9 + 33 + 81 + 4 + 530 + 5 = 666.

49338145305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 49338145305 - 2¹⁰ = 49338144281 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37179552 + ... + 37180878.

It is an arithmetic number, because the mean of its divisors is an integer number (939714048).

Almost surely, 2^49338145305 is an apocalyptic number.

49338145305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

49338145305 is a deficient number, since it is larger than the sum of its proper divisors (40874403303).

49338145305 is a wasteful number, since it uses less digits than its factorization.

49338145305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 49338145305 in words is "forty-nine billion, three hundred thirty-eight million, one hundred forty-five thousand, three hundred five".