49495778208 has 288 divisors, whose sum is σ = 146791636992. Its totient is φ = 15810163200.

The previous prime is 49495778201. The next prime is 49495778209. The reversal of 49495778208 is 80287759494.

49495778208 is a `hidden beast` number, since 494 + 9 + 57 + 78 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (49495778201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182641113 + ... + 182641383.

It is an arithmetic number, because the mean of its divisors is an integer number (509693184).

Almost surely, 2^49495778208 is an apocalyptic number.

49495778208 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 49495778208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73395818496).

49495778208 is an abundant number, since it is smaller than the sum of its proper divisors (97295858784).

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

49495778208 is a wasteful number, since it uses less digits than its factorization.

49495778208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 49495778208 in words is "forty-nine billion, four hundred ninety-five million, seven hundred seventy-eight thousand, two hundred eight".