48718410552 has 256 divisors, whose sum is σ = 166209408000. Its totient is φ = 12904759296.

The previous prime is 48718410541. The next prime is 48718410557. The reversal of 48718410552 is 25501481784.

48718410552 is a `hidden beast` number, since 4 + 8 + 7 + 1 + 84 + 10 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48718410498 and 48718410507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48718410557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1708024 + ... + 1736312.

It is an arithmetic number, because the mean of its divisors is an integer number (649255500).

Almost surely, 2^48718410552 is an apocalyptic number.

48718410552 is a gapful number since it is divisible by the number (42) 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 48718410552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83104704000).

48718410552 is an abundant number, since it is smaller than the sum of its proper divisors (117490997448).

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

48718410552 is a wasteful number, since it uses less digits than its factorization.

48718410552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28395 (or 28385 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 48718410552 in words is "forty-eight billion, seven hundred eighteen million, four hundred ten thousand, five hundred fifty-two".