49468824864 has 288 divisors, whose sum is σ = 149920243200. Its totient is φ = 15446937600.

The previous prime is 49468824857. The next prime is 49468824869. The reversal of 49468824864 is 46842886494.

49468824864 is a `hidden beast` number, since 4 + 94 + 68 + 8 + 2 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (49468824869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54540699 + ... + 54541605.

It is an arithmetic number, because the mean of its divisors is an integer number (520556400).

Almost surely, 2^49468824864 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 49468824864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74960121600).

49468824864 is an abundant number, since it is smaller than the sum of its proper divisors (100451418336).

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

49468824864 is a wasteful number, since it uses less digits than its factorization.

49468824864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1133 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 63.

The spelling of 49468824864 in words is "forty-nine billion, four hundred sixty-eight million, eight hundred twenty-four thousand, eight hundred sixty-four".