229645242624 has 288 divisors, whose sum is σ = 715354214400. Its totient is φ = 64038076416.

The previous prime is 229645242551. The next prime is 229645242653. The reversal of 229645242624 is 426242546922.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109405927 + ... + 109408025.

It is an arithmetic number, because the mean of its divisors is an integer number (2483868800).

Almost surely, 2^229645242624 is an apocalyptic number.

229645242624 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 229645242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357677107200).

229645242624 is an abundant number, since it is smaller than the sum of its proper divisors (485708971776).

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

229645242624 is a wasteful number, since it uses less digits than its factorization.

229645242624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2591 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 48.

The spelling of 229645242624 in words is "two hundred twenty-nine billion, six hundred forty-five million, two hundred forty-two thousand, six hundred twenty-four".