48224574720 has 1152 divisors, whose sum is σ = 208531169280. Its totient is φ = 10444972032.

The previous prime is 48224574689. The next prime is 48224574731. The reversal of 48224574720 is 2747542284.

48224574720 is a `hidden beast` number, since 4 + 8 + 2 + 2 + 4 + 574 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 450696907 + ... + 450697013.

It is an arithmetic number, because the mean of its divisors is an integer number (181016640).

Almost surely, 2^48224574720 is an apocalyptic number.

48224574720 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 48224574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104265584640).

48224574720 is an abundant number, since it is smaller than the sum of its proper divisors (160306594560).

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

48224574720 is an equidigital number, since it uses as much as digits as its factorization.

48224574720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 48224574720 in words is "forty-eight billion, two hundred twenty-four million, five hundred seventy-four thousand, seven hundred twenty".