49686849576 has 448 divisors, whose sum is σ = 173061947520. Its totient is φ = 13017024000.

The previous prime is 49686849571. The next prime is 49686849581. The reversal of 49686849576 is 67594868694.

49686849576 is a `hidden beast` number, since 4 + 9 + 6 + 8 + 6 + 8 + 49 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (49686849571) and next prime (49686849581).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (49686849571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 133208526 + ... + 133208898.

It is an arithmetic number, because the mean of its divisors is an integer number (386298990).

Almost surely, 2^49686849576 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 49686849576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86530973760).

49686849576 is an abundant number, since it is smaller than the sum of its proper divisors (123375097944).

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

49686849576 is a wasteful number, since it uses less digits than its factorization.

49686849576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 649 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 49686849576 in words is "forty-nine billion, six hundred eighty-six million, eight hundred forty-nine thousand, five hundred seventy-six".