48606827435136 has 512 divisors, whose sum is σ = 145409789952000. Its totient is φ = 15983836323840.

The previous prime is 48606827435129. The next prime is 48606827435183. The reversal of 48606827435136 is 63153472860684.

It is a happy number.

48606827435136 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 6 + 8 + 274 + 351 + 3 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63872308996 + ... + 63872309756.

It is an arithmetic number, because the mean of its divisors is an integer number (284003496000).

Almost surely, 2^{48606827435136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48606827435136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72704894976000).

48606827435136 is an abundant number, since it is smaller than the sum of its proper divisors (96802962516864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48606827435136 is a wasteful number, since it uses less digits than its factorization.

48606827435136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 48606827435136 in words is "forty-eight trillion, six hundred six billion, eight hundred twenty-seven million, four hundred thirty-five thousand, one hundred thirty-six".