1091397146112 has 960 divisors, whose sum is σ = 4042637254656. Its totient is φ = 275719127040.

The previous prime is 1091397146111. The next prime is 1091397146117. The reversal of 1091397146112 is 2116417931901.

1091397146112 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 397 + 146 + 112 = 666.

It is a super-2 number, since 2×1091397146112² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1091397146111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1468905613 + ... + 1468906355.

Almost surely, 2^{1091397146112} is an apocalyptic number.

1091397146112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1091397146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021318627328).

1091397146112 is an abundant number, since it is smaller than the sum of its proper divisors (2951240108544).

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

1091397146112 is a wasteful number, since it uses less digits than its factorization.

1091397146112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 1091397146112 in words is "one trillion, ninety-one billion, three hundred ninety-seven million, one hundred forty-six thousand, one hundred twelve".