1101582490969 has 27 divisors (see below), whose sum is σ = 1183282502493. Its totient is φ = 1025313896448.

The previous prime is 1101582490963. The next prime is 1101582490991. The reversal of 1101582490969 is 9690942851011.

It is a happy number.

The square root of 1101582490969 is 1049563.

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 777548313369 + 324034177600 = 881787^2 + 569240^2 .

It is not a de Polignac number, because 1101582490969 - 2²³ = 1101574102361 is a prime.

It is a super-2 number, since 2×1101582490969² (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 (1101582490963) 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, 1909154809 + ... + 1909155385.

Almost surely, 2^{1101582490969} is an apocalyptic number.

1101582490969 is the 1049563-rd square number.

1101582490969 is the 524782-nd centered octagonal number.

It is an amenable number.

1101582490969 is a deficient number, since it is larger than the sum of its proper divisors (81700011524).

1101582490969 is an frugal number, since it uses more digits than its factorization.

1101582490969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 55.

The spelling of 1101582490969 in words is "one trillion, one hundred one billion, five hundred eighty-two million, four hundred ninety thousand, nine hundred sixty-nine".