49608628608 has 768 divisors, whose sum is σ = 185058224640. Its totient is φ = 11581194240.

The previous prime is 49608628583. The next prime is 49608628661. The reversal of 49608628608 is 80682680694.

It is a super-2 number, since 2×49608628608² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 80927310 + ... + 80927922.

It is an arithmetic number, because the mean of its divisors is an integer number (240961230).

Almost surely, 2^49608628608 is an apocalyptic number.

49608628608 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 49608628608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92529112320).

49608628608 is an abundant number, since it is smaller than the sum of its proper divisors (135449596032).

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

49608628608 is a wasteful number, since it uses less digits than its factorization.

49608628608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 49608628608 in words is "forty-nine billion, six hundred eight million, six hundred twenty-eight thousand, six hundred eight".