49238326368 has 288 divisors, whose sum is σ = 174822036480. Its totient is φ = 12770887680.

The previous prime is 49238326343. The next prime is 49238326387. The reversal of 49238326368 is 86362383294.

49238326368 is a `hidden beast` number, since 49 + 238 + 3 + 2 + 6 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23039796 + ... + 23041932.

It is an arithmetic number, because the mean of its divisors is an integer number (607020960).

Almost surely, 2^49238326368 is an apocalyptic number.

49238326368 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 49238326368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87411018240).

49238326368 is an abundant number, since it is smaller than the sum of its proper divisors (125583710112).

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

49238326368 is a wasteful number, since it uses less digits than its factorization.

49238326368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 3199 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 49238326368 in words is "forty-nine billion, two hundred thirty-eight million, three hundred twenty-six thousand, three hundred sixty-eight".