49877338368 has 864 divisors, whose sum is σ = 172636894080. Its totient is φ = 12651724800.

The previous prime is 49877338363. The next prime is 49877338453. The reversal of 49877338368 is 86383377894.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 49877338299 and 49877338308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49877338363) 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 95 ways as a sum of consecutive naturals, for example, 941081830 + ... + 941081882.

It is an arithmetic number, because the mean of its divisors is an integer number (199811220).

Almost surely, 2^49877338368 is an apocalyptic number.

49877338368 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 49877338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86318447040).

49877338368 is an abundant number, since it is smaller than the sum of its proper divisors (122759555712).

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

49877338368 is a wasteful number, since it uses less digits than its factorization.

49877338368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 66.

The spelling of 49877338368 in words is "forty-nine billion, eight hundred seventy-seven million, three hundred thirty-eight thousand, three hundred sixty-eight".