49791168 has 168 divisors, whose sum is σ = 166896288. Its totient is φ = 13897728.

The previous prime is 49791163. The next prime is 49791199. The reversal of 49791168 is 86119794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (49791163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213580 + ... + 213812.

Almost surely, 2^49791168 is an apocalyptic number.

49791168 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 49791168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83448144).

49791168 is an abundant number, since it is smaller than the sum of its proper divisors (117105120).

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

49791168 is a wasteful number, since it uses less digits than its factorization.

49791168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 49791168 is about 7056.2857085013. The cubic root of 49791168 is about 367.8895383649.

The spelling of 49791168 in words is "forty-nine million, seven hundred ninety-one thousand, one hundred sixty-eight".