48968385822720 has 3456 divisors, whose sum is σ = 225710407802880. Its totient is φ = 9906778275840.

The previous prime is 48968385822673. The next prime is 48968385822761. The reversal of 48968385822720 is 2722858386984.

48968385822720 is a `hidden beast` number, since 4 + 8 + 9 + 6 + 8 + 38 + 582 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 449251246026 + ... + 449251246134.

It is an arithmetic number, because the mean of its divisors is an integer number (65309724480).

Almost surely, 2^{48968385822720} is an apocalyptic number.

48968385822720 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 48968385822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112855203901440).

48968385822720 is an abundant number, since it is smaller than the sum of its proper divisors (176742021980160).

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

48968385822720 is an equidigital number, since it uses as much as digits as its factorization.

48968385822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 48968385822720 in words is "forty-eight trillion, nine hundred sixty-eight billion, three hundred eighty-five million, eight hundred twenty-two thousand, seven hundred twenty".