10930436066641 has 81 divisors (see below), whose sum is σ = 14085708124401. Its totient is φ = 8453301764544.

The previous prime is 10930436066617. The next prime is 10930436066833. The reversal of 10930436066641 is 14666063403901.

The square root of 10930436066641 is 3306121.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6929155964241 + 4001280102400 = 2632329^2 + 2000320^2 .

It is not a de Polignac number, because 10930436066641 - 2⁹ = 10930436066129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10930436076641) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14140279131 + ... + 14140279903.

Almost surely, 2^{10930436066641} is an apocalyptic number.

10930436066641 is the 3306121-st square number.

10930436066641 is the 1653061-st centered octagonal number.

It is an amenable number.

10930436066641 is a deficient number, since it is larger than the sum of its proper divisors (3155272057760).

10930436066641 is an frugal number, since it uses more digits than its factorization.

10930436066641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 49.

Multiplying 10930436066641 by its sum of digits (49), we get a square (535591367265409 = 23142847²).

10930436066641 divided by its sum of digits (49) gives a square (223070123809 = 472303²).

The spelling of 10930436066641 in words is "ten trillion, nine hundred thirty billion, four hundred thirty-six million, sixty-six thousand, six hundred forty-one".