49536850176 has 324 divisors, whose sum is σ = 158259457356. Its totient is φ = 14890106880.

The previous prime is 49536850157. The next prime is 49536850177. The reversal of 49536850176 is 67105863594.

49536850176 is a `hidden beast` number, since 4 + 9 + 5 + 3 + 68 + 501 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42839064576 + 6697785600 = 206976^2 + 81840^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49536850177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38192760 + ... + 38194056.

Almost surely, 2^49536850176 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 49536850176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79129728678).

49536850176 is an abundant number, since it is smaller than the sum of its proper divisors (108722607180).

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

49536850176 is a wasteful number, since it uses less digits than its factorization.

49536850176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 49536850176 in words is "forty-nine billion, five hundred thirty-six million, eight hundred fifty thousand, one hundred seventy-six".