229287840768 has 528 divisors, whose sum is σ = 775838808576. Its totient is φ = 63872040960.

The previous prime is 229287840757. The next prime is 229287840809. The reversal of 229287840768 is 867048782922.

229287840768 is a `hidden beast` number, since 2 + 2 + 92 + 87 + 8 + 407 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517579555 + ... + 517579997.

Almost surely, 2^229287840768 is an apocalyptic number.

229287840768 is a gapful number since it is divisible by the number (28) 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 229287840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387919404288).

229287840768 is an abundant number, since it is smaller than the sum of its proper divisors (546550967808).

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

229287840768 is a wasteful number, since it uses less digits than its factorization.

229287840768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 229287840768 in words is "two hundred twenty-nine billion, two hundred eighty-seven million, eight hundred forty thousand, seven hundred sixty-eight".