472743818516268 has 288 divisors, whose sum is σ = 1320931098527040. Its totient is φ = 141635994716160.

The previous prime is 472743818516267. The next prime is 472743818516297. The reversal of 472743818516268 is 862615818347274.

472743818516268 is a `hidden beast` number, since 4 + 7 + 2 + 7 + 4 + 3 + 81 + 8 + 516 + 26 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 472743818516196 and 472743818516205.

It is not an unprimeable number, because it can be changed into a prime (472743818516267) 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, 19673874478 + ... + 19673898506.

It is an arithmetic number, because the mean of its divisors is an integer number (4586566314330).

Almost surely, 2^{472743818516268} 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 472743818516268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660465549263520).

472743818516268 is an abundant number, since it is smaller than the sum of its proper divisors (848187280010772).

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

472743818516268 is a wasteful number, since it uses less digits than its factorization.

472743818516268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27089 (or 27084 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 472743818516268 in words is "four hundred seventy-two trillion, seven hundred forty-three billion, eight hundred eighteen million, five hundred sixteen thousand, two hundred sixty-eight".