49431225888 has 270 divisors, whose sum is σ = 160196819013. Its totient is φ = 14941428480.

The previous prime is 49431225871. The next prime is 49431225889. The reversal of 49431225888 is 88852213494.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

49431225888 is a `hidden beast` number, since 4 + 9 + 4 + 31 + 22 + 588 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47955744144 + 1475481744 = 218988^2 + 38412^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=157212.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (49431225889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 124511706 + ... + 124512102.

Almost surely, 2^49431225888 is an apocalyptic number.

49431225888 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 49431225888

49431225888 is an abundant number, since it is smaller than the sum of its proper divisors (110765593125).

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

49431225888 is an equidigital number, since it uses as much as digits as its factorization.

49431225888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 413 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 49431225888 in words is "forty-nine billion, four hundred thirty-one million, two hundred twenty-five thousand, eight hundred eighty-eight".