49181381268192 has 288 divisors, whose sum is σ = 147431821432896. Its totient is φ = 15520868352000.

The previous prime is 49181381268139. The next prime is 49181381268193. The reversal of 49181381268192 is 29186218318194.

49181381268192 is a `hidden beast` number, since 4 + 9 + 1 + 8 + 1 + 381 + 2 + 68 + 192 = 666.

49181381268192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (49181381268193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2537598342 + ... + 2537617722.

It is an arithmetic number, because the mean of its divisors is an integer number (511916046642).

Almost surely, 2^{49181381268192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49181381268192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73715910716448).

49181381268192 is an abundant number, since it is smaller than the sum of its proper divisors (98250440164704).

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

49181381268192 is a wasteful number, since it uses less digits than its factorization.

49181381268192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23314 (or 23303 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 63.

The spelling of 49181381268192 in words is "forty-nine trillion, one hundred eighty-one billion, three hundred eighty-one million, two hundred sixty-eight thousand, one hundred ninety-two".