229776243840 has 768 divisors, whose sum is σ = 943671980160. Its totient is φ = 50783846400.

The previous prime is 229776243821. The next prime is 229776243841. The reversal of 229776243840 is 48342677922.

229776243840 is a `hidden beast` number, since 2 + 2 + 9 + 7 + 7 + 624 + 3 + 8 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (229776243841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68363760 + ... + 68367120.

Almost surely, 2^229776243840 is an apocalyptic number.

229776243840 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 229776243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471835990080).

229776243840 is an abundant number, since it is smaller than the sum of its proper divisors (713895736320).

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

229776243840 is a wasteful number, since it uses less digits than its factorization.

229776243840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 229776243840 in words is "two hundred twenty-nine billion, seven hundred seventy-six million, two hundred forty-three thousand, eight hundred forty".