229242135857920 has 288 divisors, whose sum is σ = 586978166960640. Its totient is φ = 85678516224000.

The previous prime is 229242135857909. The next prime is 229242135857957. The reversal of 229242135857920 is 29758531242922.

It is a super-3 number, since 3×229242135857920³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105738270 + ... + 1105945570.

It is an arithmetic number, because the mean of its divisors is an integer number (2038118635280).

Almost surely, 2^{229242135857920} is an apocalyptic number.

229242135857920 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 229242135857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293489083480320).

229242135857920 is an abundant number, since it is smaller than the sum of its proper divisors (357736031102720).

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

229242135857920 is an frugal number, since it uses more digits than its factorization.

229242135857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207444 (or 207368 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 229242135857920 in words is "two hundred twenty-nine trillion, two hundred forty-two billion, one hundred thirty-five million, eight hundred fifty-seven thousand, nine hundred twenty".