1106516269056 has 384 divisors, whose sum is σ = 3270657761280. Its totient is φ = 329888563200.

The previous prime is 1106516269051. The next prime is 1106516269091. The reversal of 1106516269056 is 6509626156011.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1106516269056² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1106516268996 and 1106516269014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106516269051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1175893546 + ... + 1175894486.

It is an arithmetic number, because the mean of its divisors is an integer number (8517337920).

Almost surely, 2^{1106516269056} is an apocalyptic number.

1106516269056 is a gapful number since it is divisible by the number (16) 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 1106516269056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635328880640).

1106516269056 is an abundant number, since it is smaller than the sum of its proper divisors (2164141492224).

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

1106516269056 is a wasteful number, since it uses less digits than its factorization.

1106516269056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 1106516269056 in words is "one trillion, one hundred six billion, five hundred sixteen million, two hundred sixty-nine thousand, fifty-six".