205371142956 has 384 divisors, whose sum is σ = 694020096000. Its totient is φ = 51099890688.

The previous prime is 205371142897. The next prime is 205371142957. The reversal of 205371142956 is 659241173502.

205371142956 is a `hidden beast` number, since 20 + 537 + 1 + 1 + 4 + 2 + 95 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (205371142957) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10490305 + ... + 10509863.

It is an arithmetic number, because the mean of its divisors is an integer number (1807344000).

Almost surely, 2^205371142956 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 205371142956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347010048000).

205371142956 is an abundant number, since it is smaller than the sum of its proper divisors (488648953044).

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

205371142956 is a wasteful number, since it uses less digits than its factorization.

205371142956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19658 (or 19650 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 205371142956 in words is "two hundred five billion, three hundred seventy-one million, one hundred forty-two thousand, nine hundred fifty-six".