11154738296641 has 27 divisors (see below), whose sum is σ = 11916398096553. Its totient is φ = 10439635176960.

The previous prime is 11154738296563. The next prime is 11154738296671. The reversal of 11154738296641 is 14669283745111.

The square root of 11154738296641 is 3339871.

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 37208481025 + 11117529815616 = 192895^2 + 3334296^2 .

It is not a de Polignac number, because 11154738296641 - 2²⁹ = 11154201425729 is a prime.

It is a super-2 number, since 2×11154738296641² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11154738296671) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12661450521 + ... + 12661451401.

Almost surely, 2^{11154738296641} is an apocalyptic number.

11154738296641 is the 3339871-st square number.

11154738296641 is the 1669936-th centered octagonal number.

It is an amenable number.

11154738296641 is a deficient number, since it is larger than the sum of its proper divisors (761659799912).

11154738296641 is an frugal number, since it uses more digits than its factorization.

11154738296641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 1121 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 58.

The spelling of 11154738296641 in words is "eleven trillion, one hundred fifty-four billion, seven hundred thirty-eight million, two hundred ninety-six thousand, six hundred forty-one".