4456226544 has 160 divisors (see below), whose sum is σ = 14393412096. Its totient is φ = 1154165760.

The previous prime is 4456226521. The next prime is 4456226561.

4456226544 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4456226544² = 39715910022900367872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4456226496 and 4456226505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1465794 + ... + 1468830.

Almost surely, 2^4456226544 is an apocalyptic number.

4456226544 is a gapful number since it is divisible by the number (44) 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 4456226544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196706048).

4456226544 is an abundant number, since it is smaller than the sum of its proper divisors (9937185552).

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

4456226544 is a wasteful number, since it uses less digits than its factorization.

4456226544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463 (or 3457 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

The square root of 4456226544 is about 66754.9739270416. The cubic root of 4456226544 is about 1645.5929587550.

The spelling of 4456226544 in words is "four billion, four hundred fifty-six million, two hundred twenty-six thousand, five hundred forty-four".