4182948864 has 440 divisors, whose sum is σ = 13553432640. Its totient is φ = 1281982464.

The previous prime is 4182948853. The next prime is 4182948881. The reversal of 4182948864 is 4688492814.

It is a happy number.

4182948864 is a `hidden beast` number, since 418 + 2 + 94 + 88 + 64 = 666.

It is a super-2 number, since 2×4182948864² = 34994122397677780992, which contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 4182948864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88998889 + ... + 88998935.

It is an arithmetic number, because the mean of its divisors is an integer number (30803256).

Almost surely, 2^4182948864 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 4182948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6776716320).

4182948864 is an abundant number, since it is smaller than the sum of its proper divisors (9370483776).

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

4182948864 is a wasteful number, since it uses less digits than its factorization.

4182948864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 4182948864 is about 64675.7208231961. The cubic root of 4182948864 is about 1611.2422884967.

The spelling of 4182948864 in words is "four billion, one hundred eighty-two million, nine hundred forty-eight thousand, eight hundred sixty-four".