48727415808 has 704 divisors, whose sum is σ = 164284032000. Its totient is φ = 14189395968.

The previous prime is 48727415783. The next prime is 48727415819. The reversal of 48727415808 is 80851472784.

48727415808 is a `hidden beast` number, since 487 + 2 + 7 + 4 + 158 + 0 + 8 = 666.

It is a super-2 number, since 2×48727415808² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447040458 + ... + 447040566.

It is an arithmetic number, because the mean of its divisors is an integer number (233358000).

Almost surely, 2^48727415808 is an apocalyptic number.

48727415808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48727415808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82142016000).

48727415808 is an abundant number, since it is smaller than the sum of its proper divisors (115556616192).

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

48727415808 is a wasteful number, since it uses less digits than its factorization.

48727415808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 48727415808 in words is "forty-eight billion, seven hundred twenty-seven million, four hundred fifteen thousand, eight hundred eight".