49348432224000 has 1728 divisors, whose sum is σ = 226645368069120. Its totient is φ = 10411827609600.

The previous prime is 49348432223941. The next prime is 49348432224037. The reversal of 49348432224000 is 42223484394.

It is a happy number.

49348432224000 is a `hidden beast` number, since 4 + 9 + 3 + 4 + 84 + 322 + 240 + 0 + 0 = 666.

49348432224000 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 (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 707581131 + ... + 707650869.

Almost surely, 2^{49348432224000} is an apocalyptic number.

49348432224000 is a gapful number since it is divisible by the number (40) 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 49348432224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113322684034560).

49348432224000 is an abundant number, since it is smaller than the sum of its proper divisors (177296935845120).

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

49348432224000 is an equidigital number, since it uses as much as digits as its factorization.

49348432224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69805 (or 69769 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 49348432224000 in words is "forty-nine trillion, three hundred forty-eight billion, four hundred thirty-two million, two hundred twenty-four thousand".