49016088576 has 960 divisors, whose sum is σ = 191792240640. Its totient is φ = 12103188480.

The previous prime is 49016088551. The next prime is 49016088629. The reversal of 49016088576 is 67588061094.

49016088576 is a `hidden beast` number, since 4 + 9 + 0 + 1 + 60 + 8 + 8 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 256628641 + ... + 256628831.

It is an arithmetic number, because the mean of its divisors is an integer number (199783584).

Almost surely, 2^49016088576 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 49016088576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95896120320).

49016088576 is an abundant number, since it is smaller than the sum of its proper divisors (142776152064).

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

49016088576 is a wasteful number, since it uses less digits than its factorization.

49016088576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 49016088576 in words is "forty-nine billion, sixteen million, eighty-eight thousand, five hundred seventy-six".