4194747648 has 756 divisors, whose sum is σ = 16353553440. Its totient is φ = 1048080384.

The previous prime is 4194747647. The next prime is 4194747649. The reversal of 4194747648 is 8467474914.

4194747648 is a `hidden beast` number, since 41 + 94 + 7 + 476 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (4194747647) and next prime (4194747649).

It is a tau number, because it is divible by the number of its divisors (756).

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 a junction number, because it is equal to n+sod(n) for n = 4194747594 and 4194747603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4194747647) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 220776183 + ... + 220776201.

Almost surely, 2^4194747648 is an apocalyptic number.

4194747648 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 4194747648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176776720).

4194747648 is an abundant number, since it is smaller than the sum of its proper divisors (12158805792).

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

4194747648 is an equidigital number, since it uses as much as digits as its factorization.

4194747648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 44 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 4194747648 is about 64766.8715316712. The cubic root of 4194747648 is about 1612.7558023602.

The spelling of 4194747648 in words is "four billion, one hundred ninety-four million, seven hundred forty-seven thousand, six hundred forty-eight".