4711198464 has 432 divisors, whose sum is σ = 16665958400. Its totient is φ = 1298903040.

The previous prime is 4711198463. The next prime is 4711198469. The reversal of 4711198464 is 4648911174.

4711198464 is a `hidden beast` number, since 4 + 71 + 119 + 8 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4711198463) 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, 13498962 + ... + 13499310.

Almost surely, 2^4711198464 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 4711198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332979200).

4711198464 is an abundant number, since it is smaller than the sum of its proper divisors (11954759936).

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

4711198464 is an equidigital number, since it uses as much as digits as its factorization.

4711198464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 392 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 4711198464 is about 68638.1706049921. The cubic root of 4711198464 is about 1676.3979969324.

The spelling of 4711198464 in words is "four billion, seven hundred eleven million, one hundred ninety-eight thousand, four hundred sixty-four".