49011879168 has 432 divisors, whose sum is σ = 170974876800. Its totient is φ = 13997297664.

The previous prime is 49011879109. The next prime is 49011879173. The reversal of 49011879168 is 86197811094.

49011879168 is a `hidden beast` number, since 490 + 1 + 1 + 8 + 7 + 91 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21336196 + ... + 21338492.

Almost surely, 2^49011879168 is an apocalyptic number.

49011879168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49011879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85487438400).

49011879168 is an abundant number, since it is smaller than the sum of its proper divisors (121962997632).

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

49011879168 is an frugal number, since it uses more digits than its factorization.

49011879168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 49011879168 in words is "forty-nine billion, eleven million, eight hundred seventy-nine thousand, one hundred sixty-eight".