10735045967844 has 135 divisors (see below), whose sum is σ = 29855821879065. Its totient is φ = 3252323416320.

The previous prime is 10735045967827. The next prime is 10735045967857. The reversal of 10735045967844 is 44876954053701.

The square root of 10735045967844 is 3276438.

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

10735045967844 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 504 + 59 + 6 + 78 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4756860900 + 10730289106944 = 68970^2 + 3275712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2378691732 + ... + 2378696244.

Almost surely, 2^{10735045967844} is an apocalyptic number.

10735045967844 is the 3276438-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10735045967844

10735045967844 is an abundant number, since it is smaller than the sum of its proper divisors (19120775911221).

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

10735045967844 is an frugal number, since it uses more digits than its factorization.

10735045967844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9080 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 10735045967844 in words is "ten trillion, seven hundred thirty-five billion, forty-five million, nine hundred sixty-seven thousand, eight hundred forty-four".