49575964886064 has 320 divisors, whose sum is σ = 158467051745280. Its totient is φ = 14767531683840.

The previous prime is 49575964886059. The next prime is 49575964886087. The reversal of 49575964886064 is 46068846957594.

49575964886064 is a `hidden beast` number, since 4 + 9 + 5 + 75 + 9 + 6 + 488 + 6 + 0 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10011859 + ... + 14120525.

It is an arithmetic number, because the mean of its divisors is an integer number (495209536704).

Almost surely, 2^{49575964886064} 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 49575964886064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79233525872640).

49575964886064 is an abundant number, since it is smaller than the sum of its proper divisors (108891086859216).

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

49575964886064 is a wasteful number, since it uses less digits than its factorization.

49575964886064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108785 (or 4108773 counting only the distinct ones).

The product of its (nonzero) digits is 12541132800, while the sum is 81.

The spelling of 49575964886064 in words is "forty-nine trillion, five hundred seventy-five billion, nine hundred sixty-four million, eight hundred eighty-six thousand, sixty-four".