49884976192896 has 3072 divisors, whose sum is σ = 189796690944000. Its totient is φ = 12886551429120.

The previous prime is 49884976192871. The next prime is 49884976192921. The reversal of 49884976192896 is 69829167948894.

49884976192896 is a `hidden beast` number, since 4 + 9 + 8 + 8 + 497 + 6 + 1 + 9 + 28 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (49884976192871) and next prime (49884976192921).

Its product of digits (27088846848) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1348242599790 + ... + 1348242599826.

It is an arithmetic number, because the mean of its divisors is an integer number (61782777000).

Almost surely, 2^{49884976192896} 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 49884976192896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94898345472000).

49884976192896 is an abundant number, since it is smaller than the sum of its proper divisors (139911714751104).

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

49884976192896 is a wasteful number, since it uses less digits than its factorization.

49884976192896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 122 counting only the distinct ones).

The product of its digits is 27088846848, while the sum is 90.

The spelling of 49884976192896 in words is "forty-nine trillion, eight hundred eighty-four billion, nine hundred seventy-six million, one hundred ninety-two thousand, eight hundred ninety-six".