1143071188956 has 144 divisors (see below), whose sum is σ = 3087116323200. Its totient is φ = 355594478976.

The previous prime is 1143071188907. The next prime is 1143071188967. The reversal of 1143071188956 is 6598811703411.

1143071188956 is a `hidden beast` number, since 1 + 1 + 430 + 7 + 118 + 8 + 95 + 6 = 666.

It is a super-2 number, since 2×1143071188956² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13057026 + ... + 13144278.

It is an arithmetic number, because the mean of its divisors is an integer number (21438307800).

Almost surely, 2^{1143071188956} 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 1143071188956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543558161600).

1143071188956 is an abundant number, since it is smaller than the sum of its proper divisors (1944045134244).

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

1143071188956 is a wasteful number, since it uses less digits than its factorization.

1143071188956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87568 (or 87563 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 1143071188956 in words is "one trillion, one hundred forty-three billion, seventy-one million, one hundred eighty-eight thousand, nine hundred fifty-six".