49348491442560 has 512 divisors, whose sum is σ = 177047232768000. Its totient is φ = 12988691988480.

The previous prime is 49348491442559. The next prime is 49348491442633. The reversal of 49348491442560 is 6524419484394.

49348491442560 is a `hidden beast` number, since 4 + 9 + 3 + 48 + 4 + 91 + 442 + 5 + 60 = 666.

49348491442560 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 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 63 ways as a sum of consecutive naturals, for example, 7757973780 + ... + 7757980140.

It is an arithmetic number, because the mean of its divisors is an integer number (345795376500).

Almost surely, 2^{49348491442560} is an apocalyptic number.

49348491442560 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 49348491442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88523616384000).

49348491442560 is an abundant number, since it is smaller than the sum of its proper divisors (127698741325440).

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

49348491442560 is a wasteful number, since it uses less digits than its factorization.

49348491442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12151 (or 12133 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 49348491442560 in words is "forty-nine trillion, three hundred forty-eight billion, four hundred ninety-one million, four hundred forty-two thousand, five hundred sixty".