48224196000 has 288 divisors, whose sum is σ = 171943769088. Its totient is φ = 12799987200.

The previous prime is 48224195989. The next prime is 48224196029. The reversal of 48224196000 is 69142284.

48224196000 is a `hidden beast` number, since 4 + 8 + 2 + 2 + 41 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 8024997 + ... + 8031003.

It is an arithmetic number, because the mean of its divisors is an integer number (597026976).

Almost surely, 2^48224196000 is an apocalyptic number.

48224196000 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 48224196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85971884544).

48224196000 is an abundant number, since it is smaller than the sum of its proper divisors (123719573088).

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

48224196000 is a wasteful number, since it uses less digits than its factorization.

48224196000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 48224196000 in words is "forty-eight billion, two hundred twenty-four million, one hundred ninety-six thousand".