49186368 has 168 divisors, whose sum is σ = 175930560. Its totient is φ = 12764160.

The previous prime is 49186309. The next prime is 49186399. The reversal of 49186368 is 86368194.

49186368 is a `hidden beast` number, since 4 + 9 + 1 + 8 + 636 + 8 = 666.

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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 43798 + ... + 44906.

Almost surely, 2^49186368 is an apocalyptic number.

49186368 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 49186368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87965280).

49186368 is an abundant number, since it is smaller than the sum of its proper divisors (126744192).

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

49186368 is a wasteful number, since it uses less digits than its factorization.

49186368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1132 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 49186368 is about 7013.2993662042. The cubic root of 49186368 is about 366.3939143297.

The spelling of 49186368 in words is "forty-nine million, one hundred eighty-six thousand, three hundred sixty-eight".