4450429036816 has 135 divisors (see below), whose sum is σ = 10211381302629. Its totient is φ = 1873530873984.

The previous prime is 4450429036811. The next prime is 4450429036943. The reversal of 4450429036816 is 6186309240544.

The square root of 4450429036816 is 2109604.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2923484432400 + 1526944604416 = 1709820^2 + 1235696^2 .

It is a super-2 number, since 2×4450429036816² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4450429036811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3485065170 + ... + 3485066446.

Almost surely, 2^{4450429036816} is an apocalyptic number.

4450429036816 is the 2109604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4450429036816

4450429036816 is an abundant number, since it is smaller than the sum of its proper divisors (5760952265813).

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

4450429036816 is an frugal number, since it uses more digits than its factorization.

4450429036816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 4450429036816 in words is "four trillion, four hundred fifty billion, four hundred twenty-nine million, thirty-six thousand, eight hundred sixteen".