4566955322160 has 1440 divisors, whose sum is σ = 19842709985280. Its totient is φ = 930656563200.

The previous prime is 4566955322141. The next prime is 4566955322177. The reversal of 4566955322160 is 612235596654.

4566955322160 is a `hidden beast` number, since 4 + 5 + 6 + 6 + 9 + 553 + 2 + 21 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4566955322097 and 4566955322106.

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, 5549155509 + ... + 5549156331.

It is an arithmetic number, because the mean of its divisors is an integer number (13779659712).

Almost surely, 2^{4566955322160} is an apocalyptic number.

4566955322160 is a gapful number since it is divisible by the number (40) 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 4566955322160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9921354992640).

4566955322160 is an abundant number, since it is smaller than the sum of its proper divisors (15275754663120).

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

4566955322160 is a wasteful number, since it uses less digits than its factorization.

4566955322160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 4566955322160 in words is "four trillion, five hundred sixty-six billion, nine hundred fifty-five million, three hundred twenty-two thousand, one hundred sixty".