4745871648 has 168 divisors, whose sum is σ = 16010543808. Its totient is φ = 1355916672.

The previous prime is 4745871629. The next prime is 4745871649. The reversal of 4745871648 is 8461785474.

4745871648 is a `hidden beast` number, since 4 + 7 + 4 + 587 + 16 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4745871594 and 4745871603.

It is not an unprimeable number, because it can be changed into a prime (4745871649) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 148765 + ... + 177827.

It is an arithmetic number, because the mean of its divisors is an integer number (95300856).

Almost surely, 2^4745871648 is an apocalyptic number.

4745871648 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 4745871648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8005271904).

4745871648 is an abundant number, since it is smaller than the sum of its proper divisors (11264672160).

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

4745871648 is an equidigital number, since it uses as much as digits as its factorization.

4745871648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29098 (or 29075 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The square root of 4745871648 is about 68890.2870367079. The cubic root of 4745871648 is about 1680.5005651248.

The spelling of 4745871648 in words is "four billion, seven hundred forty-five million, eight hundred seventy-one thousand, six hundred forty-eight".