230205432478362 has 128 divisors (see below), whose sum is σ = 529403396797440. Its totient is φ = 65999990039040.

The previous prime is 230205432478303. The next prime is 230205432478379. The reversal of 230205432478362 is 263874234502032.

230205432478362 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×230205432478362² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3778598833 + ... + 3778659755.

It is an arithmetic number, because the mean of its divisors is an integer number (4135964037480).

Almost surely, 2^{230205432478362} is an apocalyptic number.

230205432478362 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230205432478362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264701698398720).

230205432478362 is an abundant number, since it is smaller than the sum of its proper divisors (299197964319078).

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

230205432478362 is a wasteful number, since it uses less digits than its factorization.

230205432478362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64908.

The product of its (nonzero) digits is 11612160, while the sum is 51.

The spelling of 230205432478362 in words is "two hundred thirty trillion, two hundred five billion, four hundred thirty-two million, four hundred seventy-eight thousand, three hundred sixty-two".