49048688832 has 336 divisors, whose sum is σ = 154617724800. Its totient is φ = 13602201600.

The previous prime is 49048688747. The next prime is 49048688833. The reversal of 49048688832 is 23888684094.

It is a super-2 number, since 2×49048688832² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49048688833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46757044 + ... + 46758092.

It is an arithmetic number, because the mean of its divisors is an integer number (460171800).

Almost surely, 2^49048688832 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 49048688832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77308862400).

49048688832 is an abundant number, since it is smaller than the sum of its proper divisors (105569035968).

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

49048688832 is a wasteful number, since it uses less digits than its factorization.

49048688832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 60.

The spelling of 49048688832 in words is "forty-nine billion, forty-eight million, six hundred eighty-eight thousand, eight hundred thirty-two".