1095687656001 has 9 divisors (see below), whose sum is σ = 1582664483491. Its totient is φ = 730456343832.

The previous prime is 1095687655991. The next prime is 1095687656017. The reversal of 1095687656001 is 1006567865901.

The square root of 1095687656001 is 1046751.

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

1095687656001 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 6 + 8 + 76 + 560 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 766298898225 + 329388757776 = 875385^2 + 573924^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1095687656001 - 2²⁵ = 1095654101569 is a prime.

It is a super-2 number, since 2×1095687656001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1095687654001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2965795 + ... + 3314711.

Almost surely, 2^{1095687656001} is an apocalyptic number.

1095687656001 is the 1046751-st square number.

1095687656001 is the 523376-th centered octagonal number.

It is an amenable number.

1095687656001 is a deficient number, since it is larger than the sum of its proper divisors (486976827490).

1095687656001 is an frugal number, since it uses more digits than its factorization.

1095687656001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697840 (or 348920 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 1095687656001 in words is "one trillion, ninety-five billion, six hundred eighty-seven million, six hundred fifty-six thousand, one".