10737345072544 has 24 divisors (see below), whose sum is σ = 21654737092548. Its totient is φ = 5237729303040.

The previous prime is 10737345072541. The next prime is 10737345072547. The reversal of 10737345072544 is 44527054373701.

It is an interprime number because it is at equal distance from previous prime (10737345072541) and next prime (10737345072547).

It can be written as a sum of positive squares in 2 ways, for example, as 10737339596944 + 5475600 = 3276788^2 + 2340^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10737345072491 and 10737345072500.

It is not an unprimeable number, because it can be changed into a prime (10737345072541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4091974707 + ... + 4091977330.

Almost surely, 2^{10737345072544} is an apocalyptic number.

It is an amenable number.

10737345072544 is an abundant number, since it is smaller than the sum of its proper divisors (10917392020004).

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

10737345072544 is an equidigital number, since it uses as much as digits as its factorization.

10737345072544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8183952088 (or 8183952080 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 52.

The spelling of 10737345072544 in words is "ten trillion, seven hundred thirty-seven billion, three hundred forty-five million, seventy-two thousand, five hundred forty-four".