48575342260224 has 312 divisors, whose sum is σ = 153233183873952. Its totient is φ = 14735738142720.

The previous prime is 48575342260223. The next prime is 48575342260243. The reversal of 48575342260224 is 42206224357584.

48575342260224 is a `hidden beast` number, since 4 + 8 + 5 + 7 + 5 + 3 + 4 + 2 + 2 + 602 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is not an unprimeable number, because it can be changed into a prime (48575342260223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33311664 + ... + 34739280.

It is an arithmetic number, because the mean of its divisors is an integer number (491131999596).

Almost surely, 2^{48575342260224} 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 48575342260224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76616591936976).

48575342260224 is an abundant number, since it is smaller than the sum of its proper divisors (104657841613728).

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

48575342260224 is a wasteful number, since it uses less digits than its factorization.

48575342260224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427731 (or 1427706 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 48575342260224 in words is "forty-eight trillion, five hundred seventy-five billion, three hundred forty-two million, two hundred sixty thousand, two hundred twenty-four".