48403520064 has 189 divisors, whose sum is σ = 141691862793. Its totient is φ = 15798334464.

The previous prime is 48403520047. The next prime is 48403520117. The reversal of 48403520064 is 46002530484.

The square root of 48403520064 is 220008.

It is a perfect power (a square), and thus also a powerful number.

48403520064 is a `hidden beast` number, since 48 + 403 + 5 + 200 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9294502464 + 39109017600 = 96408^2 + 197760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 469937037 + ... + 469937139.

Almost surely, 2^48403520064 is an apocalyptic number.

48403520064 is the 220008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48403520064

48403520064 is an abundant number, since it is smaller than the sum of its proper divisors (93288342729).

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

48403520064 is an equidigital number, since it uses as much as digits as its factorization.

48403520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Multiplying 48403520064 by its sum of digits (36), we get a square (1742526722304 = 1320048²).

48403520064 divided by its sum of digits (36) gives a square (1344542224 = 36668²).

The spelling of 48403520064 in words is "forty-eight billion, four hundred three million, five hundred twenty thousand, sixty-four".