49864634208 has 576 divisors, whose sum is σ = 162732810240. Its totient is φ = 14963139072.

The previous prime is 49864634177. The next prime is 49864634219. The reversal of 49864634208 is 80243646894.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 298590541 + ... + 298590707.

It is an arithmetic number, because the mean of its divisors is an integer number (282522240).

Almost surely, 2^49864634208 is an apocalyptic number.

49864634208 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 49864634208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81366405120).

49864634208 is an abundant number, since it is smaller than the sum of its proper divisors (112868176032).

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

49864634208 is a wasteful number, since it uses less digits than its factorization.

49864634208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 49864634208 in words is "forty-nine billion, eight hundred sixty-four million, six hundred thirty-four thousand, two hundred eight".