1126655126064 has 480 divisors, whose sum is σ = 3703826939904. Its totient is φ = 329126353920.

The previous prime is 1126655126057. The next prime is 1126655126083. The reversal of 1126655126064 is 4606215566211.

1126655126064 is a `hidden beast` number, since 1 + 1 + 26 + 6 + 5 + 5 + 12 + 606 + 4 = 666.

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, 83037009 + ... + 83050575.

Almost surely, 2^{1126655126064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126655126064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851913469952).

1126655126064 is an abundant number, since it is smaller than the sum of its proper divisors (2577171813840).

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

1126655126064 is a wasteful number, since it uses less digits than its factorization.

1126655126064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13687 (or 13669 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1126655126064 in words is "one trillion, one hundred twenty-six billion, six hundred fifty-five million, one hundred twenty-six thousand, sixty-four".