48338004924 has 432 divisors, whose sum is σ = 147234447360. Its totient is φ = 13318905600.

The previous prime is 48338004917. The next prime is 48338004983. The reversal of 48338004924 is 42940083384.

48338004924 is a `hidden beast` number, since 4 + 83 + 3 + 80 + 0 + 492 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48338004924.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 368992339 + ... + 368992469.

It is an arithmetic number, because the mean of its divisors is an integer number (340820480).

Almost surely, 2^48338004924 is an apocalyptic number.

48338004924 is a gapful number since it is divisible by the number (44) 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 48338004924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73617223680).

48338004924 is an abundant number, since it is smaller than the sum of its proper divisors (98896442436).

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

48338004924 is a wasteful number, since it uses less digits than its factorization.

48338004924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 48338004924 in words is "forty-eight billion, three hundred thirty-eight million, four thousand, nine hundred twenty-four".