10861763726961 has 45 divisors (see below), whose sum is σ = 18875035645851. Its totient is φ = 6206603483808.

The previous prime is 10861763726927. The next prime is 10861763726977. The reversal of 10861763726961 is 16962736716801.

The square root of 10861763726961 is 3295719.

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

10861763726961 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 176 + 372 + 6 + 96 + 1 = 666.

10861763726961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10220393394225 + 641370332736 = 3196935^2 + 800856^2 .

It is not a de Polignac number, because 10861763726961 - 2²⁹ = 10861226856049 is a prime.

It is a super-2 number, since 2×10861763726961² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10861763722961) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 207604141 + ... + 207656453.

Almost surely, 2^{10861763726961} is an apocalyptic number.

10861763726961 is the 3295719-th square number.

10861763726961 is the 1647860-th centered octagonal number.

It is an amenable number.

10861763726961 is a deficient number, since it is larger than the sum of its proper divisors (8013271918890).

10861763726961 is an frugal number, since it uses more digits than its factorization.

10861763726961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104652 (or 52323 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 10861763726961 in words is "ten trillion, eight hundred sixty-one billion, seven hundred sixty-three million, seven hundred twenty-six thousand, nine hundred sixty-one".