205748142477648 has 160 divisors (see below), whose sum is σ = 577837503830400. Its totient is φ = 62929793783808.

The previous prime is 205748142477641. The next prime is 205748142477727. The reversal of 205748142477648 is 846774241847502.

It is a happy number.

It is a super-2 number, since 2×205748142477648² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205748142477641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44236483 + ... + 48665826.

It is an arithmetic number, because the mean of its divisors is an integer number (3611484398940).

Almost surely, 2^{205748142477648} is an apocalyptic number.

It is an amenable number.

205748142477648 is an abundant number, since it is smaller than the sum of its proper divisors (372089361352752).

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

205748142477648 is a wasteful number, since it uses less digits than its factorization.

205748142477648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92902429 (or 92902423 counting only the distinct ones).

The product of its (nonzero) digits is 674365440, while the sum is 69.

The spelling of 205748142477648 in words is "two hundred five trillion, seven hundred forty-eight billion, one hundred forty-two million, four hundred seventy-seven thousand, six hundred forty-eight".