49806825984 has 240 divisors, whose sum is σ = 150082406760. Its totient is φ = 15885434880.

The previous prime is 49806825983. The next prime is 49806826019. The reversal of 49806825984 is 48952860894.

49806825984 is a `hidden beast` number, since 498 + 0 + 68 + 2 + 5 + 9 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27822240000 + 21984585984 = 166800^2 + 148272^2 .

It is not an unprimeable number, because it can be changed into a prime (49806825983) 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 23 ways as a sum of consecutive naturals, for example, 10397862 + ... + 10402650.

Almost surely, 2^49806825984 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 49806825984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75041203380).

49806825984 is an abundant number, since it is smaller than the sum of its proper divisors (100275580776).

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

49806825984 is a wasteful number, since it uses less digits than its factorization.

49806825984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 49806825984 in words is "forty-nine billion, eight hundred six million, eight hundred twenty-five thousand, nine hundred eighty-four".