49581168 has 80 divisors (see below), whose sum is σ = 157656576. Its totient is φ = 13075200.

The previous prime is 49581101. The next prime is 49581179. The reversal of 49581168 is 86118594.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308 + ... + 10043.

Almost surely, 2^49581168 is an apocalyptic number.

49581168 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 49581168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78828288).

49581168 is an abundant number, since it is smaller than the sum of its proper divisors (108075408).

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

49581168 is a wasteful number, since it uses less digits than its factorization.

49581168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11382 (or 11376 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 49581168 is about 7041.3896355762. The cubic root of 49581168 is about 367.3716039966.

The spelling of 49581168 in words is "forty-nine million, five hundred eighty-one thousand, one hundred sixty-eight".