48600246240 has 1440 divisors, whose sum is σ = 223091668800. Its totient is φ = 9900527616.

The previous prime is 48600246199. The next prime is 48600246283. The reversal of 48600246240 is 4264200684.

It is a happy number.

48600246240 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 0 + 24 + 624 + 0 = 666.

48600246240 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 (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48600246195 and 48600246204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1675870546 + ... + 1675870574.

It is an arithmetic number, because the mean of its divisors is an integer number (154924770).

Almost surely, 2^48600246240 is an apocalyptic number.

48600246240 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 48600246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111545834400).

48600246240 is an abundant number, since it is smaller than the sum of its proper divisors (174491422560).

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

48600246240 is a wasteful number, since it uses less digits than its factorization.

48600246240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 48600246240 in words is "forty-eight billion, six hundred million, two hundred forty-six thousand, two hundred forty".