1106277460992 has 528 divisors, whose sum is σ = 3626589657600. Its totient is φ = 334051983360.

The previous prime is 1106277460987. The next prime is 1106277461027. The reversal of 1106277460992 is 2990647726011.

1106277460992 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 27 + 7 + 4 + 609 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1064751609 + ... + 1064752647.

Almost surely, 2^{1106277460992} is an apocalyptic number.

1106277460992 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 1106277460992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813294828800).

1106277460992 is an abundant number, since it is smaller than the sum of its proper divisors (2520312196608).

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

1106277460992 is a wasteful number, since it uses less digits than its factorization.

1106277460992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 1106277460992 in words is "one trillion, one hundred six billion, two hundred seventy-seven million, four hundred sixty thousand, nine hundred ninety-two".