49294389600 has 864 divisors, whose sum is σ = 189683859456. Its totient is φ = 12018585600.

The previous prime is 49294389587. The next prime is 49294389601. The reversal of 49294389600 is 698349294.

49294389600 is a `hidden beast` number, since 4 + 9 + 29 + 4 + 3 + 8 + 9 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49294389601) 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 143 ways as a sum of consecutive naturals, for example, 388144737 + ... + 388144863.

It is an arithmetic number, because the mean of its divisors is an integer number (219541504).

Almost surely, 2^49294389600 is an apocalyptic number.

49294389600 is a gapful number since it is divisible by the number (40) 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 49294389600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94841929728).

49294389600 is an abundant number, since it is smaller than the sum of its proper divisors (140389469856).

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

49294389600 is a wasteful number, since it uses less digits than its factorization.

49294389600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 49294389600 in words is "forty-nine billion, two hundred ninety-four million, three hundred eighty-nine thousand, six hundred".