48404765813328 has 480 divisors, whose sum is σ = 144043833997440. Its totient is φ = 15150001950720.

The previous prime is 48404765813249. The next prime is 48404765813329. The reversal of 48404765813328 is 82331856740484.

48404765813328 is a `hidden beast` number, since 4 + 8 + 4 + 0 + 47 + 6 + 581 + 3 + 3 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48404765813329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15188189751 + ... + 15188192937.

It is an arithmetic number, because the mean of its divisors is an integer number (300091320828).

Almost surely, 2^{48404765813328} is an apocalyptic number.

48404765813328 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 48404765813328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72021916998720).

48404765813328 is an abundant number, since it is smaller than the sum of its proper divisors (95639068184112).

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

48404765813328 is a wasteful number, since it uses less digits than its factorization.

48404765813328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 48404765813328 in words is "forty-eight trillion, four hundred four billion, seven hundred sixty-five million, eight hundred thirteen thousand, three hundred twenty-eight".