4338455746816 has 135 divisors (see below), whose sum is σ = 9104773216721. Its totient is φ = 2063166809088.

The previous prime is 4338455746789. The next prime is 4338455746819. The reversal of 4338455746816 is 6186475548334.

The square root of 4338455746816 is 2082896.

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., 2274980956416 + 2063474790400 = 1508304^2 + 1436480^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (4338455746819) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 64753070815 + ... + 64753070881.

Almost surely, 2^{4338455746816} is an apocalyptic number.

4338455746816 is the 2082896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4338455746816

4338455746816 is an abundant number, since it is smaller than the sum of its proper divisors (4766317469905).

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

4338455746816 is an frugal number, since it uses more digits than its factorization.

4338455746816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 98 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 64.

Multiplying 4338455746816 by its sum of digits (64), we get a square (277661167796224 = 16663168²).

4338455746816 divided by its sum of digits (64) gives a square (67788371044 = 260362²).

The spelling of 4338455746816 in words is "four trillion, three hundred thirty-eight billion, four hundred fifty-five million, seven hundred forty-six thousand, eight hundred sixteen".