48219751008 has 960 divisors, whose sum is σ = 180727303680. Its totient is φ = 12391833600.

The previous prime is 48219751007. The next prime is 48219751057. The reversal of 48219751008 is 80015791284.

48219751008 is a `hidden beast` number, since 48 + 2 + 1 + 97 + 510 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48219751007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 288740941 + ... + 288741107.

It is an arithmetic number, because the mean of its divisors is an integer number (188257608).

Almost surely, 2^48219751008 is an apocalyptic number.

48219751008 is a gapful number since it is divisible by the number (48) 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 48219751008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90363651840).

48219751008 is an abundant number, since it is smaller than the sum of its proper divisors (132507552672).

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

48219751008 is a wasteful number, since it uses less digits than its factorization.

48219751008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 48219751008 in words is "forty-eight billion, two hundred nineteen million, seven hundred fifty-one thousand, eight".