48343266006048 has 288 divisors, whose sum is σ = 152381138861952. Its totient is φ = 14443262668800.

The previous prime is 48343266006029. The next prime is 48343266006059. The reversal of 48343266006048 is 84060066234384.

48343266006048 is a `hidden beast` number, since 4 + 8 + 3 + 4 + 3 + 26 + 6 + 0 + 0 + 604 + 8 = 666.

48343266006048 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 (288).

It is a super-2 number, since 2×48343266006048² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48343266005985 and 48343266006003.

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 47 ways as a sum of consecutive naturals, for example, 31643061 + ... + 33135627.

It is an arithmetic number, because the mean of its divisors is an integer number (529101176604).

Almost surely, 2^{48343266006048} is an apocalyptic number.

48343266006048 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 48343266006048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76190569430976).

48343266006048 is an abundant number, since it is smaller than the sum of its proper divisors (104037872855904).

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

48343266006048 is a wasteful number, since it uses less digits than its factorization.

48343266006048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492848 (or 1492837 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 48343266006048 in words is "forty-eight trillion, three hundred forty-three billion, two hundred sixty-six million, six thousand, forty-eight".