1126890664992 has 576 divisors, whose sum is σ = 3710585458944. Its totient is φ = 334589460480.

The previous prime is 1126890664979. The next prime is 1126890665003. The reversal of 1126890664992 is 2994660986211.

1126890664992 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 89 + 0 + 66 + 499 + 2 = 666.

It is a super-2 number, since 2×1126890664992² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294918442 + ... + 294922262.

It is an arithmetic number, because the mean of its divisors is an integer number (6441988644).

Almost surely, 2^{1126890664992} is an apocalyptic number.

1126890664992 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 1126890664992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855292729472).

1126890664992 is an abundant number, since it is smaller than the sum of its proper divisors (2583694793952).

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

1126890664992 is a wasteful number, since it uses less digits than its factorization.

1126890664992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 1126890664992 in words is "one trillion, one hundred twenty-six billion, eight hundred ninety million, six hundred sixty-four thousand, nine hundred ninety-two".