4471117980966 has 288 divisors, whose sum is σ = 12751667183520. Its totient is φ = 1156940838144.

The previous prime is 4471117980863. The next prime is 4471117980977. The reversal of 4471117980966 is 6690897111744.

4471117980966 is a `hidden beast` number, since 4 + 471 + 1 + 1 + 79 + 8 + 0 + 96 + 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 143 ways as a sum of consecutive naturals, for example, 23605896 + ... + 23794548.

It is an arithmetic number, because the mean of its divisors is an integer number (44276622165).

Almost surely, 2^{4471117980966} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4471117980966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6375833591760).

4471117980966 is an abundant number, since it is smaller than the sum of its proper divisors (8280549202554).

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

4471117980966 is a wasteful number, since it uses less digits than its factorization.

4471117980966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188757 (or 188731 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 4471117980966 in words is "four trillion, four hundred seventy-one billion, one hundred seventeen million, nine hundred eighty thousand, nine hundred sixty-six".