49617824256 has 960 divisors, whose sum is σ = 199043260416. Its totient is φ = 11479449600.

The previous prime is 49617824233. The next prime is 49617824281. The reversal of 49617824256 is 65242871694.

49617824256 is a `hidden beast` number, since 49 + 6 + 178 + 2 + 425 + 6 = 666.

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 95 ways as a sum of consecutive naturals, for example, 142990675 + ... + 142991021.

Almost surely, 2^49617824256 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 49617824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99521630208).

49617824256 is an abundant number, since it is smaller than the sum of its proper divisors (149425436160).

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

49617824256 is a wasteful number, since it uses less digits than its factorization.

49617824256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 414 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 49617824256 in words is "forty-nine billion, six hundred seventeen million, eight hundred twenty-four thousand, two hundred fifty-six".