49317067800 has 1152 divisors, whose sum is σ = 225405573120. Its totient is φ = 9331200000.

The previous prime is 49317067777. The next prime is 49317067801. The reversal of 49317067800 is 876071394.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49317067801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 181981665 + ... + 181981935.

It is an arithmetic number, because the mean of its divisors is an integer number (195664560).

Almost surely, 2^49317067800 is an apocalyptic number.

49317067800 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 49317067800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112702786560).

49317067800 is an abundant number, since it is smaller than the sum of its proper divisors (176088505320).

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

49317067800 is a wasteful number, since it uses less digits than its factorization.

49317067800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 49317067800 in words is "forty-nine billion, three hundred seventeen million, sixty-seven thousand, eight hundred".