48427106805 has 192 divisors, whose sum is σ = 111266887680. Its totient is φ = 18874944000.

The previous prime is 48427106779. The next prime is 48427106851. The reversal of 48427106805 is 50860172484.

48427106805 is a `hidden beast` number, since 48 + 427 + 106 + 80 + 5 = 666.

It is not a de Polignac number, because 48427106805 - 2¹⁵ = 48427074037 is a prime.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 6645694 + ... + 6652976.

It is an arithmetic number, because the mean of its divisors is an integer number (579515040).

Almost surely, 2^48427106805 is an apocalyptic number.

48427106805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48427106805 is an abundant number, since it is smaller than the sum of its proper divisors (62839780875).

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

48427106805 is a wasteful number, since it uses less digits than its factorization.

48427106805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7432 (or 7429 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 48427106805 in words is "forty-eight billion, four hundred twenty-seven million, one hundred six thousand, eight hundred five".