229457608704 has 300 divisors, whose sum is σ = 704197300884. Its totient is φ = 74402758656.

The previous prime is 229457608703. The next prime is 229457608717. The reversal of 229457608704 is 407806754922.

229457608704 is a `hidden beast` number, since 2 + 29 + 4 + 5 + 7 + 608 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 213399650304 + 16057958400 = 461952^2 + 126720^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229457608703) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49100512 + ... + 49105184.

Almost surely, 2^229457608704 is an apocalyptic number.

229457608704 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 229457608704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352098650442).

229457608704 is an abundant number, since it is smaller than the sum of its proper divisors (474739692180).

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

229457608704 is an frugal number, since it uses more digits than its factorization.

229457608704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 229457608704 in words is "two hundred twenty-nine billion, four hundred fifty-seven million, six hundred eight thousand, seven hundred four".