4466022614144 has 192 divisors, whose sum is σ = 11152813989240. Its totient is φ = 1765680021504.

The previous prime is 4466022614111. The next prime is 4466022614173. The reversal of 4466022614144 is 4414162206644.

It can be written as a sum of positive squares in 4 ways, for example, as 3675502465600 + 790520148544 = 1917160^2 + 889112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4466022614095 and 4466022614104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138024272 + ... + 138056624.

Almost surely, 2^{4466022614144} 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 4466022614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576406994620).

4466022614144 is an abundant number, since it is smaller than the sum of its proper divisors (6686791375096).

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

4466022614144 is a wasteful number, since it uses less digits than its factorization.

4466022614144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34087 (or 34068 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 44.

The spelling of 4466022614144 in words is "four trillion, four hundred sixty-six billion, twenty-two million, six hundred fourteen thousand, one hundred forty-four".