4566097122048 has 864 divisors, whose sum is σ = 17347910711040. Its totient is φ = 1185920870400.

The previous prime is 4566097122031. The next prime is 4566097122073. The reversal of 4566097122048 is 8402217906654.

4566097122048 is a `hidden beast` number, since 4 + 5 + 6 + 609 + 7 + 1 + 2 + 20 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 4566097121985 and 4566097122003.

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, 301763443 + ... + 301778573.

It is an arithmetic number, because the mean of its divisors is an integer number (20078600360).

Almost surely, 2^{4566097122048} is an apocalyptic number.

4566097122048 is a gapful number since it is divisible by the number (48) 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 4566097122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673955355520).

4566097122048 is an abundant number, since it is smaller than the sum of its proper divisors (12781813588992).

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

4566097122048 is an equidigital number, since it uses as much as digits as its factorization.

4566097122048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15193 (or 15154 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4566097122048 in words is "four trillion, five hundred sixty-six billion, ninety-seven million, one hundred twenty-two thousand, forty-eight".