48224692224 has 384 divisors, whose sum is σ = 151783632000. Its totient is φ = 15086518272.

The previous prime is 48224692211. The next prime is 48224692231. The reversal of 48224692224 is 42229642284.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48224692224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206972812 + ... + 206973044.

It is an arithmetic number, because the mean of its divisors is an integer number (395269875).

Almost surely, 2^48224692224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48224692224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75891816000).

48224692224 is an abundant number, since it is smaller than the sum of its proper divisors (103558939776).

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

48224692224 is a wasteful number, since it uses less digits than its factorization.

48224692224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 454 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 48224692224 in words is "forty-eight billion, two hundred twenty-four million, six hundred ninety-two thousand, two hundred twenty-four".