229849062024420 has 288 divisors, whose sum is σ = 763720392445920. Its totient is φ = 55695215493120.

The previous prime is 229849062024419. The next prime is 229849062024473. The reversal of 229849062024420 is 24420260948922.

229849062024420 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 4 + 9 + 0 + 6 + 202 + 4 + 420 = 666.

229849062024420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 3743226606564 + 226105835417856 = 1934742^2 + 15036816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1813870984 + ... + 1813997696.

It is an arithmetic number, because the mean of its divisors is an integer number (2651806918215).

Almost surely, 2^{229849062024420} is an apocalyptic number.

229849062024420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229849062024420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381860196222960).

229849062024420 is an abundant number, since it is smaller than the sum of its proper divisors (533871330421500).

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

229849062024420 is a wasteful number, since it uses less digits than its factorization.

229849062024420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147215 (or 147210 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 229849062024420 in words is "two hundred twenty-nine trillion, eight hundred forty-nine billion, sixty-two million, twenty-four thousand, four hundred twenty".