49248463034880 has 1280 divisors, whose sum is σ = 181924333240320. Its totient is φ = 12778160209920.

The previous prime is 49248463034867. The next prime is 49248463034899. The reversal of 49248463034880 is 8843036484294.

49248463034880 is a `hidden beast` number, since 4 + 9 + 2 + 484 + 6 + 30 + 3 + 48 + 80 = 666.

49248463034880 is digitally balanced in base 5, 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 (1280).

It is a super-2 number, since 2×49248463034880² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55522505797 + ... + 55522506683.

It is an arithmetic number, because the mean of its divisors is an integer number (142128385344).

Almost surely, 2^{49248463034880} is an apocalyptic number.

49248463034880 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 49248463034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90962166620160).

49248463034880 is an abundant number, since it is smaller than the sum of its proper divisors (132675870205440).

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

49248463034880 is an frugal number, since it uses more digits than its factorization.

49248463034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 49248463034880 in words is "forty-nine trillion, two hundred forty-eight billion, four hundred sixty-three million, thirty-four thousand, eight hundred eighty".