258161545216 has 117 divisors (see below), whose sum is σ = 549591518809. Its totient is φ = 121227640832.

The previous prime is 258161545189. The next prime is 258161545223. The reversal of 258161545216 is 612545161852.

The square root of 258161545216 is 508096.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 200990822400 + 57170722816 = 448320^2 + 239104^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 552808215 + ... + 552808681.

Almost surely, 2^258161545216 is an apocalyptic number.

258161545216 is the 508096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258161545216

258161545216 is an abundant number, since it is smaller than the sum of its proper divisors (291429973593).

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

258161545216 is an frugal number, since it uses more digits than its factorization.

258161545216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 486 counting only the distinct ones).

The product of its digits is 576000, while the sum is 46.

The spelling of 258161545216 in words is "two hundred fifty-eight billion, one hundred sixty-one million, five hundred forty-five thousand, two hundred sixteen".