4148392968 has 192 divisors, whose sum is σ = 12663705600. Its totient is φ = 1267410240.

The previous prime is 4148392961. The next prime is 4148392979. The reversal of 4148392968 is 8692938414.

4148392968 is a `hidden beast` number, since 414 + 83 + 92 + 9 + 68 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4148392961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1143205 + ... + 1146827.

It is an arithmetic number, because the mean of its divisors is an integer number (65956800).

Almost surely, 2^4148392968 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 4148392968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331852800).

4148392968 is an abundant number, since it is smaller than the sum of its proper divisors (8515312632).

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

4148392968 is a wasteful number, since it uses less digits than its factorization.

4148392968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3678 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 4148392968 is about 64408.0194385761. The cubic root of 4148392968 is about 1606.7931186857.

The spelling of 4148392968 in words is "four billion, one hundred forty-eight million, three hundred ninety-two thousand, nine hundred sixty-eight".