10973398262544 has 675 divisors, whose sum is σ = 34924598894757. Its totient is φ = 3325756444416.

The previous prime is 10973398262521. The next prime is 10973398262557. The reversal of 10973398262544 is 44526289337901.

The square root of 10973398262544 is 3312612.

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

10973398262544 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 3 + 3 + 9 + 82 + 6 + 2 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5754183868944 + 5219214393600 = 2398788^2 + 2284560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 65708971549 + ... + 65708971715.

It is a 1-persistent number, because it is pandigital, but 2⋅10973398262544 = 21946796525088 is not.

Almost surely, 2^{10973398262544} is an apocalyptic number.

10973398262544 is the 3312612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10973398262544

10973398262544 is an abundant number, since it is smaller than the sum of its proper divisors (23951200632213).

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

10973398262544 is an equidigital number, since it uses as much as digits as its factorization.

10973398262544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 10973398262544 in words is "ten trillion, nine hundred seventy-three billion, three hundred ninety-eight million, two hundred sixty-two thousand, five hundred forty-four".