1101567797136 has 135 divisors (see below), whose sum is σ = 3108985455121. Its totient is φ = 364103571072.

The previous prime is 1101567797129. The next prime is 1101567797167. The reversal of 1101567797136 is 6317977651011.

It is a happy number.

The square root of 1101567797136 is 1049556.

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

1101567797136 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 567 + 7 + 9 + 71 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 129056251536 + 972511545600 = 359244^2 + 986160^2 .

It is a super-2 number, since 2×1101567797136² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1876605835 + ... + 1876606421.

Almost surely, 2^{1101567797136} is an apocalyptic number.

1101567797136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1101567797136 is the 1049556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101567797136

1101567797136 is an abundant number, since it is smaller than the sum of its proper divisors (2007417657985).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1101567797136 is an frugal number, since it uses more digits than its factorization.

1101567797136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 54.

The spelling of 1101567797136 in words is "one trillion, one hundred one billion, five hundred sixty-seven million, seven hundred ninety-seven thousand, one hundred thirty-six".