4466229412736 has 512 divisors, whose sum is σ = 11649957580800. Its totient is φ = 1658216448000.

The previous prime is 4466229412679. The next prime is 4466229412783. The reversal of 4466229412736 is 6372149226644.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1750774661 + ... + 1750777211.

It is an arithmetic number, because the mean of its divisors is an integer number (22753823400).

Almost surely, 2^{4466229412736} 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 4466229412736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5824978790400).

4466229412736 is an abundant number, since it is smaller than the sum of its proper divisors (7183728168064).

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

4466229412736 is a wasteful number, since it uses less digits than its factorization.

4466229412736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2746 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 56.

The spelling of 4466229412736 in words is "four trillion, four hundred sixty-six billion, two hundred twenty-nine million, four hundred twelve thousand, seven hundred thirty-six".