1126449192960 has 2520 divisors, whose sum is σ = 5210810597916. Its totient is φ = 231871610880.

The previous prime is 1126449192943. The next prime is 1126449192983. The reversal of 1126449192960 is 692919446211.

1126449192960 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 4 + 491 + 92 + 9 + 60 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1967099904 + 1124482093056 = 44352^2 + 1060416^2 .

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1126449192897 and 1126449192906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 27474370540 + ... + 27474370580.

Almost surely, 2^{1126449192960} is an apocalyptic number.

1126449192960 is a gapful number since it is divisible by the number (10) 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 1126449192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605405298958).

1126449192960 is an abundant number, since it is smaller than the sum of its proper divisors (4084361404956).

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

1126449192960 is an equidigital number, since it uses as much as digits as its factorization.

1126449192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1126449192960 in words is "one trillion, one hundred twenty-six billion, four hundred forty-nine million, one hundred ninety-two thousand, nine hundred sixty".