48842196480000 has 7800 divisors, whose sum is σ = 254138621109120. Its totient is φ = 9196830720000.

The previous prime is 48842196479959. The next prime is 48842196480013. The reversal of 48842196480000 is 8469124884.

It is a happy number.

48842196480000 is a `hidden beast` number, since 4 + 88 + 421 + 9 + 64 + 80 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 2123573759989 + ... + 2123573760011.

Almost surely, 2^{48842196480000} is an apocalyptic number.

48842196480000 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 48842196480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127069310554560).

48842196480000 is an abundant number, since it is smaller than the sum of its proper divisors (205296424629120).

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

48842196480000 is a wasteful number, since it uses less digits than its factorization.

48842196480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 48842196480000 in words is "forty-eight trillion, eight hundred forty-two billion, one hundred ninety-six million, four hundred eighty thousand".