471009664452096 has 2880 divisors, whose sum is σ = 1864104956313600. Its totient is φ = 111642955776000.

The previous prime is 471009664452079. The next prime is 471009664452121. The reversal of 471009664452096 is 690254466900174.

It is a happy number.

471009664452096 is a `hidden beast` number, since 4 + 7 + 1 + 0 + 0 + 9 + 66 + 44 + 520 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 760920297675 + ... + 760920298293.

Almost surely, 2^{471009664452096} 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 471009664452096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932052478156800).

471009664452096 is an abundant number, since it is smaller than the sum of its proper divisors (1393095291861504).

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

471009664452096 is a wasteful number, since it uses less digits than its factorization.

471009664452096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 471009664452096 in words is "four hundred seventy-one trillion, nine billion, six hundred sixty-four million, four hundred fifty-two thousand, ninety-six".