1125006044256 has 192 divisors, whose sum is σ = 3434889507840. Its totient is φ = 357549603840.

The previous prime is 1125006044249. The next prime is 1125006044273. The reversal of 1125006044256 is 6524406005211.

1125006044256 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 0 + 0 + 604 + 42 + 5 + 6 = 666.

It is a super-2 number, since 2×1125006044256² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1125006044256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6129501 + ... + 6310371.

It is an arithmetic number, because the mean of its divisors is an integer number (17890049520).

Almost surely, 2^{1125006044256} is an apocalyptic number.

1125006044256 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 1125006044256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717444753920).

1125006044256 is an abundant number, since it is smaller than the sum of its proper divisors (2309883463584).

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

1125006044256 is a wasteful number, since it uses less digits than its factorization.

1125006044256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181226 (or 181212 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1125006044256 in words is "one trillion, one hundred twenty-five billion, six million, forty-four thousand, two hundred fifty-six".