1101179495641 has 9 divisors (see below), whose sum is σ = 1103555134591. Its totient is φ = 1098808966552.

The previous prime is 1101179495623. The next prime is 1101179495651. The reversal of 1101179495641 is 1465949711011.

The square root of 1101179495641 is 1049371.

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

It can be written as a sum of positive squares in only one way, i.e., 256243502025 + 844935993616 = 506205^2 + 919204^2 .

It is not a de Polignac number, because 1101179495641 - 2²³ = 1101171107033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101179495651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 685238460 + ... + 685240066.

Almost surely, 2^{1101179495641} is an apocalyptic number.

1101179495641 is the 1049371-st square number.

1101179495641 is the 524686-th centered octagonal number.

It is an amenable number.

1101179495641 is a deficient number, since it is larger than the sum of its proper divisors (2375638950).

1101179495641 is an frugal number, since it uses more digits than its factorization.

1101179495641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 49.

Multiplying 1101179495641 by its sum of digits (49), we get a square (53957795286409 = 7345597²).

The spelling of 1101179495641 in words is "one trillion, one hundred one billion, one hundred seventy-nine million, four hundred ninety-five thousand, six hundred forty-one".