4148117064 has 384 divisors, whose sum is σ = 14460526080. Its totient is φ = 1045094400.

The previous prime is 4148117063. The next prime is 4148117081. The reversal of 4148117064 is 4607118414.

4148117064 is a `hidden beast` number, since 4 + 1 + 481 + 170 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4148117063) 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, 17211984 + ... + 17212224.

It is an arithmetic number, because the mean of its divisors is an integer number (37657620).

Almost surely, 2^4148117064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4148117064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7230263040).

4148117064 is an abundant number, since it is smaller than the sum of its proper divisors (10312409016).

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

4148117064 is a wasteful number, since it uses less digits than its factorization.

4148117064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4148117064 is about 64405.8775578751. The cubic root of 4148117064 is about 1606.7574960177.

It can be divided in two parts, 414811 and 7064, that added together give a cube (421875 = 75³).

The spelling of 4148117064 in words is "four billion, one hundred forty-eight million, one hundred seventeen thousand, sixty-four".