49533155168224 has 192 divisors, whose sum is σ = 125925412257792. Its totient is φ = 18652542105600.

The previous prime is 49533155168221. The next prime is 49533155168261. The reversal of 49533155168224 is 42286155133594.

49533155168224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49533155168221) 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 31 ways as a sum of consecutive naturals, for example, 1008969 + ... + 10004215.

It is an arithmetic number, because the mean of its divisors is an integer number (655861522176).

Almost surely, 2^{49533155168224} 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 49533155168224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62962706128896).

49533155168224 is an abundant number, since it is smaller than the sum of its proper divisors (76392257089568).

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

49533155168224 is a wasteful number, since it uses less digits than its factorization.

49533155168224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8995369 (or 8995361 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 58.

The spelling of 49533155168224 in words is "forty-nine trillion, five hundred thirty-three billion, one hundred fifty-five million, one hundred sixty-eight thousand, two hundred twenty-four".