1106816540928 has 432 divisors, whose sum is σ = 3475666656000. Its totient is φ = 311744692224.

The previous prime is 1106816540897. The next prime is 1106816540953. The reversal of 1106816540928 is 8290456186011.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 980350668 + ... + 980351796.

Almost surely, 2^{1106816540928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106816540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737833328000).

1106816540928 is an abundant number, since it is smaller than the sum of its proper divisors (2368850115072).

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

1106816540928 is a wasteful number, since it uses less digits than its factorization.

1106816540928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 1106816540928 in words is "one trillion, one hundred six billion, eight hundred sixteen million, five hundred forty thousand, nine hundred twenty-eight".