1126482406560 has 144 divisors (see below), whose sum is σ = 4393281424896. Its totient is φ = 257481690624.

The previous prime is 1126482406529. The next prime is 1126482406601. The reversal of 1126482406560 is 656042846211.

It is a happy number.

1126482406560 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 4 + 82 + 4 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1126482406560² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 55867024 + ... + 55887183.

It is an arithmetic number, because the mean of its divisors is an integer number (30508898784).

Almost surely, 2^{1126482406560} is an apocalyptic number.

1126482406560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1126482406560 is an abundant number, since it is smaller than the sum of its proper divisors (3266799018336).

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

1126482406560 is a wasteful number, since it uses less digits than its factorization.

1126482406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111754235 (or 111754224 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1126482406560 in words is "one trillion, one hundred twenty-six billion, four hundred eighty-two million, four hundred six thousand, five hundred sixty".