416569008966 has 192 divisors, whose sum is σ = 973304930304. Its totient is φ = 117650332800.

The previous prime is 416569008887. The next prime is 416569008983. The reversal of 416569008966 is 669800965614.

416569008966 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 899716851 + ... + 899717313.

It is an arithmetic number, because the mean of its divisors is an integer number (5069296512).

Almost surely, 2^416569008966 is an apocalyptic number.

416569008966 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 416569008966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486652465152).

416569008966 is an abundant number, since it is smaller than the sum of its proper divisors (556735921338).

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

416569008966 is a wasteful number, since it uses less digits than its factorization.

416569008966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 416569008966 in words is "four hundred sixteen billion, five hundred sixty-nine million, eight thousand, nine hundred sixty-six".