1131166225728 has 2016 divisors, whose sum is σ = 4591342559232. Its totient is φ = 258138316800.

The previous prime is 1131166225711. The next prime is 1131166225769. The reversal of 1131166225728 is 8275226611311.

1131166225728 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 16 + 62 + 2 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21342758950 + ... + 21342759002.

Almost surely, 2^{1131166225728} is an apocalyptic number.

1131166225728 is a gapful number since it is divisible by the number (18) 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 1131166225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295671279616).

1131166225728 is an abundant number, since it is smaller than the sum of its proper divisors (3460176333504).

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

1131166225728 is a wasteful number, since it uses less digits than its factorization.

1131166225728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 169 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 1131166225728 in words is "one trillion, one hundred thirty-one billion, one hundred sixty-six million, two hundred twenty-five thousand, seven hundred twenty-eight".