472428746842086 has 288 divisors, whose sum is σ = 1112210893946880. Its totient is φ = 144762289689600.

The previous prime is 472428746842081. The next prime is 472428746842133. The reversal of 472428746842086 is 680248647824274.

472428746842086 is a `hidden beast` number, since 4 + 7 + 2 + 4 + 2 + 87 + 46 + 8 + 420 + 86 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472428746842081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34899065910 + ... + 34899079446.

It is an arithmetic number, because the mean of its divisors is an integer number (3861843381760).

Almost surely, 2^{472428746842086} is an apocalyptic number.

472428746842086 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 472428746842086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556105446973440).

472428746842086 is an abundant number, since it is smaller than the sum of its proper divisors (639782147104794).

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

472428746842086 is a wasteful number, since it uses less digits than its factorization.

472428746842086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14432 (or 14406 counting only the distinct ones).

The product of its (nonzero) digits is 1849688064, while the sum is 72.

The spelling of 472428746842086 in words is "four hundred seventy-two trillion, four hundred twenty-eight billion, seven hundred forty-six million, eight hundred forty-two thousand, eighty-six".