229875465024 has 224 divisors, whose sum is σ = 690573168000. Its totient is φ = 75904086528.

The previous prime is 229875465013. The next prime is 229875465031. The reversal of 229875465024 is 420564578922.

229875465024 is a `hidden beast` number, since 2 + 2 + 9 + 87 + 54 + 6 + 502 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14968902 + ... + 14984250.

Almost surely, 2^229875465024 is an apocalyptic number.

229875465024 is a gapful number since it is divisible by the number (24) 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 229875465024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345286584000).

229875465024 is an abundant number, since it is smaller than the sum of its proper divisors (460697702976).

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

229875465024 is an equidigital number, since it uses as much as digits as its factorization.

229875465024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15489 (or 15461 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 229875465024 in words is "two hundred twenty-nine billion, eight hundred seventy-five million, four hundred sixty-five thousand, twenty-four".