1089954792081 has 27 divisors (see below), whose sum is σ = 1634975975451. Its totient is φ = 726580151568.

The previous prime is 1089954792049. The next prime is 1089954792083. The reversal of 1089954792081 is 1802974599801.

The square root of 1089954792081 is 1044009.

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

1089954792081 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 9 + 547 + 9 + 2 + 0 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 714970022481 + 374984769600 = 845559^2 + 612360^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 1089954792081 - 2⁵ = 1089954792049 is a prime.

It is a super-2 number, since 2×1089954792081² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1089954792083) 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, 84558285 + ... + 84571173.

Almost surely, 2^{1089954792081} is an apocalyptic number.

1089954792081 is the 1044009-th square number.

1089954792081 is the 522005-th centered octagonal number.

It is an amenable number.

1089954792081 is a deficient number, since it is larger than the sum of its proper divisors (545021183370).

1089954792081 is an frugal number, since it uses more digits than its factorization.

1089954792081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25802 (or 12892 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 1089954792081 in words is "one trillion, eighty-nine billion, nine hundred fifty-four million, seven hundred ninety-two thousand, eighty-one".