205342385148 has 96 divisors (see below), whose sum is σ = 549719224320. Its totient is φ = 66218160960.

The previous prime is 205342385123. The next prime is 205342385189. The reversal of 205342385148 is 841583243502.

205342385148 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 423 + 85 + 148 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12925386 + ... + 12941262.

It is an arithmetic number, because the mean of its divisors is an integer number (5726241920).

Almost surely, 2^205342385148 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 205342385148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274859612160).

205342385148 is an abundant number, since it is smaller than the sum of its proper divisors (344376839172).

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

205342385148 is a wasteful number, since it uses less digits than its factorization.

205342385148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19784 (or 19776 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 205342385148 in words is "two hundred five billion, three hundred forty-two million, three hundred eighty-five thousand, one hundred forty-eight".