1106161808640 has 576 divisors, whose sum is σ = 4434819379200. Its totient is φ = 229113004032.

The previous prime is 1106161808579. The next prime is 1106161808641. The reversal of 1106161808640 is 468081616011.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1106161808592 and 1106161808601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106161808641) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11699476 + ... + 11793644.

It is an arithmetic number, because the mean of its divisors is an integer number (7699339200).

Almost surely, 2^{1106161808640} is an apocalyptic number.

1106161808640 is a gapful number since it is divisible by the number (10) 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 1106161808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217409689600).

1106161808640 is an abundant number, since it is smaller than the sum of its proper divisors (3328657570560).

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

1106161808640 is a wasteful number, since it uses less digits than its factorization.

1106161808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94242 (or 94228 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 1106161808640 in words is "one trillion, one hundred six billion, one hundred sixty-one million, eight hundred eight thousand, six hundred forty".