4634717318352 has 480 divisors, whose sum is σ = 15508849870080. Its totient is φ = 1321352524800.

The previous prime is 4634717318317. The next prime is 4634717318359. The reversal of 4634717318352 is 2538137174364.

4634717318352 is a `hidden beast` number, since 4 + 6 + 347 + 1 + 73 + 183 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4634717318359) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73306018 + ... + 73369214.

It is an arithmetic number, because the mean of its divisors is an integer number (32310103896).

Almost surely, 2^{4634717318352} 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 4634717318352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7754424935040).

4634717318352 is an abundant number, since it is smaller than the sum of its proper divisors (10874132551728).

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

4634717318352 is a wasteful number, since it uses less digits than its factorization.

4634717318352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63320 (or 63297 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 4634717318352 in words is "four trillion, six hundred thirty-four billion, seven hundred seventeen million, three hundred eighteen thousand, three hundred fifty-two".