472523541205248 has 432 divisors, whose sum is σ = 1478347345356336. Its totient is φ = 144288043499520.

The previous prime is 472523541205171. The next prime is 472523541205277. The reversal of 472523541205248 is 842502145325274.

It is a happy number.

472523541205248 is a `hidden beast` number, since 4 + 7 + 2 + 5 + 2 + 3 + 541 + 2 + 0 + 52 + 48 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13653675327744 + 458869865877504 = 3695088^2 + 21421248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 472523541205194 and 472523541205203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15679168036 + ... + 15679198172.

It is an arithmetic number, because the mean of its divisors is an integer number (3422100336473).

Almost surely, 2^{472523541205248} is an apocalyptic number.

472523541205248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472523541205248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739173672678168).

472523541205248 is an abundant number, since it is smaller than the sum of its proper divisors (1005823804151088).

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

472523541205248 is a wasteful number, since it uses less digits than its factorization.

472523541205248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34130 (or 34113 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 54.

The spelling of 472523541205248 in words is "four hundred seventy-two trillion, five hundred twenty-three billion, five hundred forty-one million, two hundred five thousand, two hundred forty-eight".