258818162223216 has 640 divisors, whose sum is σ = 732974046658560. Its totient is φ = 78444785664000.

The previous prime is 258818162223079. The next prime is 258818162223217. The reversal of 258818162223216 is 612322261818852.

It is a super-3 number, since 3×258818162223216³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258818162223217) 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, 103403179821 + ... + 103403182323.

It is an arithmetic number, because the mean of its divisors is an integer number (1145271947904).

Almost surely, 2^{258818162223216} 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 258818162223216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366487023329280).

258818162223216 is an abundant number, since it is smaller than the sum of its proper divisors (474155884435344).

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

258818162223216 is a wasteful number, since it uses less digits than its factorization.

258818162223216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2959 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 57.

The spelling of 258818162223216 in words is "two hundred fifty-eight trillion, eight hundred eighteen billion, one hundred sixty-two million, two hundred twenty-three thousand, two hundred sixteen".