229914538813440 has 1152 divisors, whose sum is σ = 894435002173440. Its totient is φ = 54236086272000.

The previous prime is 229914538813391. The next prime is 229914538813441. The reversal of 229914538813440 is 44318835419922.

It is a happy number.

229914538813440 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 1 + 453 + 8 + 8 + 134 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (229914538813441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3825439390 + ... + 3825499490.

It is an arithmetic number, because the mean of its divisors is an integer number (776419272720).

Almost surely, 2^{229914538813440} is an apocalyptic number.

229914538813440 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 229914538813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447217501086720).

229914538813440 is an abundant number, since it is smaller than the sum of its proper divisors (664520463360000).

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

229914538813440 is a wasteful number, since it uses less digits than its factorization.

229914538813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60281 (or 60258 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 229914538813440 in words is "two hundred twenty-nine trillion, nine hundred fourteen billion, five hundred thirty-eight million, eight hundred thirteen thousand, four hundred forty".