230541225444 has 144 divisors (see below), whose sum is σ = 608530890240. Its totient is φ = 73508981760.

The previous prime is 230541225437. The next prime is 230541225461. The reversal of 230541225444 is 444522145032.

230541225444 is a `hidden beast` number, since 2 + 3 + 0 + 541 + 22 + 54 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230541225399 and 230541225408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60778812 + ... + 60782604.

It is an arithmetic number, because the mean of its divisors is an integer number (4225908960).

Almost surely, 2^230541225444 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 230541225444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304265445120).

230541225444 is an abundant number, since it is smaller than the sum of its proper divisors (377989664796).

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

230541225444 is a wasteful number, since it uses less digits than its factorization.

230541225444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 230541225444 in words is "two hundred thirty billion, five hundred forty-one million, two hundred twenty-five thousand, four hundred forty-four".