1122008158656 has 1120 divisors, whose sum is σ = 4284073728000. Its totient is φ = 281914214400.

The previous prime is 1122008158651. The next prime is 1122008158679. The reversal of 1122008158656 is 6568518002211.

1122008158656 is a `hidden beast` number, since 1 + 12 + 2 + 0 + 0 + 8 + 1 + 586 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122008158651) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2248513095 + ... + 2248513593.

Almost surely, 2^{1122008158656} is an apocalyptic number.

1122008158656 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 1122008158656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142036864000).

1122008158656 is an abundant number, since it is smaller than the sum of its proper divisors (3162065569344).

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

1122008158656 is a wasteful number, since it uses less digits than its factorization.

1122008158656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 1122008158656 in words is "one trillion, one hundred twenty-two billion, eight million, one hundred fifty-eight thousand, six hundred fifty-six".