49610631168 has 672 divisors, whose sum is σ = 175309505280. Its totient is φ = 13735526400.

The previous prime is 49610631163. The next prime is 49610631181. The reversal of 49610631168 is 86113601694.

49610631168 is a `hidden beast` number, since 4 + 9 + 6 + 1 + 0 + 631 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×49610631168² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49610631163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 491194318 + ... + 491194418.

It is an arithmetic number, because the mean of its divisors is an integer number (260877240).

Almost surely, 2^49610631168 is an apocalyptic number.

49610631168 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 49610631168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87654752640).

49610631168 is an abundant number, since it is smaller than the sum of its proper divisors (125698874112).

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

49610631168 is an equidigital number, since it uses as much as digits as its factorization.

49610631168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 49610631168 in words is "forty-nine billion, six hundred ten million, six hundred thirty-one thousand, one hundred sixty-eight".