1045125128256 has 224 divisors, whose sum is σ = 3104565027840. Its totient is φ = 307506124800.

The previous prime is 1045125128239. The next prime is 1045125128297. The reversal of 1045125128256 is 6528215215401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38355085 + ... + 38382323.

Almost surely, 2^{1045125128256} is an apocalyptic number.

1045125128256 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 1045125128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552282513920).

1045125128256 is an abundant number, since it is smaller than the sum of its proper divisors (2059439899584).

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

1045125128256 is a wasteful number, since it uses less digits than its factorization.

1045125128256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27793 (or 27783 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The spelling of 1045125128256 in words is "one trillion, forty-five billion, one hundred twenty-five million, one hundred twenty-eight thousand, two hundred fifty-six".