48930570468000 has 1152 divisors, whose sum is σ = 191930844216384. Its totient is φ = 11728797696000.

The previous prime is 48930570467957. The next prime is 48930570468023. The reversal of 48930570468000 is 86407503984.

48930570468000 is a `hidden beast` number, since 4 + 8 + 9 + 3 + 0 + 570 + 4 + 68 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 44495890434576 + 4434680033424 = 6670524^2 + 2105868^2 .

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 191 ways as a sum of consecutive naturals, for example, 11838993934 + ... + 11838998066.

Almost surely, 2^{48930570468000} is an apocalyptic number.

48930570468000 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 48930570468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95965422108192).

48930570468000 is an abundant number, since it is smaller than the sum of its proper divisors (143000273748384).

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

48930570468000 is a wasteful number, since it uses less digits than its factorization.

48930570468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 48930570468000 in words is "forty-eight trillion, nine hundred thirty billion, five hundred seventy million, four hundred sixty-eight thousand".