48540507245649 has 12 divisors (see below), whose sum is σ = 70119180654900. Its totient is φ = 32357977563744.

The previous prime is 48540507245647. The next prime is 48540507245701. The reversal of 48540507245649 is 94654270504584.

48540507245649 is a `hidden beast` number, since 4 + 8 + 5 + 40 + 5 + 0 + 7 + 24 + 564 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21371601981249 + 27168905264400 = 4622943^2 + 5212380^2 .

It is not a de Polignac number, because 48540507245649 - 2¹ = 48540507245647 is a prime.

It is a super-3 number, since 3×48540507245649³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48540507245647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196586434 + ... + 196833195.

It is an arithmetic number, because the mean of its divisors is an integer number (5843265054575).

Almost surely, 2^{48540507245649} is an apocalyptic number.

It is an amenable number.

48540507245649 is a deficient number, since it is larger than the sum of its proper divisors (21578673409251).

48540507245649 is a wasteful number, since it uses less digits than its factorization.

48540507245649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393433344 (or 393433341 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 63.

The spelling of 48540507245649 in words is "forty-eight trillion, five hundred forty billion, five hundred seven million, two hundred forty-five thousand, six hundred forty-nine".