48536567468829 has 48 divisors (see below), whose sum is σ = 80703872346240. Its totient is φ = 27820992798720.

The previous prime is 48536567468797. The next prime is 48536567468861. The reversal of 48536567468829 is 92886476563584.

48536567468829 is a `hidden beast` number, since 4 + 8 + 5 + 3 + 6 + 567 + 46 + 8 + 8 + 2 + 9 = 666.

48536567468829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48536567468797) and next prime (48536567468861).

It is not a de Polignac number, because 48536567468829 - 2⁵ = 48536567468797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48536567468329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119550244 + ... + 119955549.

It is an arithmetic number, because the mean of its divisors is an integer number (1681330673880).

Almost surely, 2^{48536567468829} is an apocalyptic number.

It is an amenable number.

48536567468829 is a deficient number, since it is larger than the sum of its proper divisors (32167304877411).

48536567468829 is a wasteful number, since it uses less digits than its factorization.

48536567468829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239505922 (or 239505919 counting only the distinct ones).

The product of its digits is 16721510400, while the sum is 81.

The spelling of 48536567468829 in words is "forty-eight trillion, five hundred thirty-six billion, five hundred sixty-seven million, four hundred sixty-eight thousand, eight hundred twenty-nine".