1106896819392 has 504 divisors, whose sum is σ = 4121861002896. Its totient is φ = 291926218752.

The previous prime is 1106896819351. The next prime is 1106896819411. The reversal of 1106896819392 is 2939186986011.

1106896819392 is a `hidden beast` number, since 1 + 106 + 89 + 68 + 1 + 9 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 71 ways as a sum of consecutive naturals, for example, 9850758 + ... + 9962490.

Almost surely, 2^{1106896819392} is an apocalyptic number.

1106896819392 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 1106896819392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060930501448).

1106896819392 is an abundant number, since it is smaller than the sum of its proper divisors (3014964183504).

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

1106896819392 is a wasteful number, since it uses less digits than its factorization.

1106896819392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111787 (or 111758 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 1106896819392 in words is "one trillion, one hundred six billion, eight hundred ninety-six million, eight hundred nineteen thousand, three hundred ninety-two".