1123586431506 has 320 divisors, whose sum is σ = 3316068771840. Its totient is φ = 275480352000.

The previous prime is 1123586431477. The next prime is 1123586431511. The reversal of 1123586431506 is 6051346853211.

1123586431506 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 58 + 64 + 31 + 506 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 66590251 + ... + 66607121.

It is an arithmetic number, because the mean of its divisors is an integer number (10362714912).

Almost surely, 2^{1123586431506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123586431506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658034385920).

1123586431506 is an abundant number, since it is smaller than the sum of its proper divisors (2192482340334).

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

1123586431506 is a wasteful number, since it uses less digits than its factorization.

1123586431506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17203 (or 17194 counting only the distinct ones).

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

The spelling of 1123586431506 in words is "one trillion, one hundred twenty-three billion, five hundred eighty-six million, four hundred thirty-one thousand, five hundred six".