1111048166592 has 560 divisors, whose sum is σ = 4060290868480. Its totient is φ = 292535359488.

The previous prime is 1111048166581. The next prime is 1111048166593. The reversal of 1111048166592 is 2956618401111.

1111048166592 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 0 + 48 + 16 + 6 + 592 = 666.

It is not an unprimeable number, because it can be changed into a prime (1111048166593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 348617223 + ... + 348620409.

It is an arithmetic number, because the mean of its divisors is an integer number (7250519408).

Almost surely, 2^{1111048166592} is an apocalyptic number.

1111048166592 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 1111048166592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030145434240).

1111048166592 is an abundant number, since it is smaller than the sum of its proper divisors (2949242701888).

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

1111048166592 is a wasteful number, since it uses less digits than its factorization.

1111048166592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 1111048166592 in words is "one trillion, one hundred eleven billion, forty-eight million, one hundred sixty-six thousand, five hundred ninety-two".