49825556224 has 144 divisors (see below), whose sum is σ = 111135386880. Its totient is φ = 22156001280.

The previous prime is 49825556219. The next prime is 49825556321. The reversal of 49825556224 is 42265552894.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 61436779 + ... + 61437589.

It is an arithmetic number, because the mean of its divisors is an integer number (771773520).

Almost surely, 2^49825556224 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 49825556224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55567693440).

49825556224 is an abundant number, since it is smaller than the sum of its proper divisors (61309830656).

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

49825556224 is a wasteful number, since it uses less digits than its factorization.

49825556224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1592 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 52.

The spelling of 49825556224 in words is "forty-nine billion, eight hundred twenty-five million, five hundred fifty-six thousand, two hundred twenty-four".