471030329153664 has 1024 divisors, whose sum is σ = 1753048991232000. Its totient is φ = 121494314188800.

The previous prime is 471030329153663. The next prime is 471030329153669. The reversal of 471030329153664 is 466351923030174.

471030329153664 is a `hidden beast` number, since 4 + 7 + 10 + 3 + 0 + 3 + 2 + 91 + 536 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 471030329153664.

It is not an unprimeable number, because it can be changed into a prime (471030329153663) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 810068794 + ... + 810650054.

It is an arithmetic number, because the mean of its divisors is an integer number (1711961905500).

Almost surely, 2^{471030329153664} 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 471030329153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876524495616000).

471030329153664 is an abundant number, since it is smaller than the sum of its proper divisors (1282018662078336).

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

471030329153664 is a wasteful number, since it uses less digits than its factorization.

471030329153664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581394 (or 581376 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 471030329153664 in words is "four hundred seventy-one trillion, thirty billion, three hundred twenty-nine million, one hundred fifty-three thousand, six hundred sixty-four".