471665218752 has 1120 divisors, whose sum is σ = 1858792320000. Its totient is φ = 114807103488.

The previous prime is 471665218649. The next prime is 471665218771. The reversal of 471665218752 is 257812566174.

It is a happy number.

471665218752 is a `hidden beast` number, since 4 + 7 + 1 + 66 + 521 + 8 + 7 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 314652499 + ... + 314653997.

It is an arithmetic number, because the mean of its divisors is an integer number (1659636000).

Almost surely, 2^471665218752 is an apocalyptic number.

471665218752 is a gapful number since it is divisible by the number (42) 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 471665218752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929396160000).

471665218752 is an abundant number, since it is smaller than the sum of its proper divisors (1387127101248).

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

471665218752 is a wasteful number, since it uses less digits than its factorization.

471665218752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1576 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 471665218752 in words is "four hundred seventy-one billion, six hundred sixty-five million, two hundred eighteen thousand, seven hundred fifty-two".