482735601864 has 96 divisors (see below), whose sum is σ = 1330719287040. Its totient is φ = 158059641600.

The previous prime is 482735601863. The next prime is 482735601877. The reversal of 482735601864 is 468106537284.

It is a happy number.

482735601864 is a `hidden beast` number, since 4 + 8 + 2 + 7 + 3 + 560 + 18 + 64 = 666.

It is a super-2 number, since 2×482735601864² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 482735601864.

It is not an unprimeable number, because it can be changed into a prime (482735601863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1211124 + ... + 1559580.

It is an arithmetic number, because the mean of its divisors is an integer number (13861659240).

Almost surely, 2^482735601864 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 482735601864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665359643520).

482735601864 is an abundant number, since it is smaller than the sum of its proper divisors (847983685176).

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

482735601864 is a wasteful number, since it uses less digits than its factorization.

482735601864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348811 (or 348804 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 482735601864 in words is "four hundred eighty-two billion, seven hundred thirty-five million, six hundred one thousand, eight hundred sixty-four".