10834311744 has 63 divisors (see below), whose sum is σ = 31061760457. Its totient is φ = 3610604544.

The previous prime is 10834311731. The next prime is 10834311749. The reversal of 10834311744 is 44711343801.

The square root of 10834311744 is 104088.

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., 124545600 + 10709766144 = 11160^2 + 103488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10834311699 and 10834311708.

It is not an unprimeable number, because it can be changed into a prime (10834311749) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2495944 + ... + 2500280.

Almost surely, 2^10834311744 is an apocalyptic number.

10834311744 is the 104088-th square number.

It is an amenable number.

10834311744 is an abundant number, since it is smaller than the sum of its proper divisors (20227448713).

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

10834311744 is an frugal number, since it uses more digits than its factorization.

10834311744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8692 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 10834311744 by its sum of digits (36), we get a square (390035222784 = 624528²).

10834311744 divided by its sum of digits (36) gives a square (300953104 = 17348²).

The spelling of 10834311744 in words is "ten billion, eight hundred thirty-four million, three hundred eleven thousand, seven hundred forty-four".