4748534360064 has 1152 divisors, whose sum is σ = 17220542976000. Its totient is φ = 1241107660800.

The previous prime is 4748534360057. The next prime is 4748534360069. The reversal of 4748534360064 is 4600634358474.

4748534360064 is a `hidden beast` number, since 4 + 7 + 48 + 534 + 3 + 6 + 0 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (4748534360069) 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, 2030154607 + ... + 2030156945.

It is an arithmetic number, because the mean of its divisors is an integer number (14948388000).

Almost surely, 2^{4748534360064} is an apocalyptic number.

4748534360064 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 4748534360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8610271488000).

4748534360064 is an abundant number, since it is smaller than the sum of its proper divisors (12472008615936).

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

4748534360064 is a wasteful number, since it uses less digits than its factorization.

4748534360064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 4748534360064 in words is "four trillion, seven hundred forty-eight billion, five hundred thirty-four million, three hundred sixty thousand, sixty-four".