229758891264 has 432 divisors, whose sum is σ = 778857206400. Its totient is φ = 63784157184.

The previous prime is 229758891259. The next prime is 229758891269. The reversal of 229758891264 is 462198857922.

229758891264 is a `hidden beast` number, since 2 + 29 + 7 + 588 + 9 + 1 + 26 + 4 = 666.

229758891264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (229758891259) and next prime (229758891269).

It is a super-2 number, since 2×229758891264² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229758891269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84686772 + ... + 84689484.

It is an arithmetic number, because the mean of its divisors is an integer number (1802910200).

Almost surely, 2^229758891264 is an apocalyptic number.

229758891264 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 229758891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389428603200).

229758891264 is an abundant number, since it is smaller than the sum of its proper divisors (549098315136).

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

229758891264 is a wasteful number, since it uses less digits than its factorization.

229758891264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2873 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 229758891264 in words is "two hundred twenty-nine billion, seven hundred fifty-eight million, eight hundred ninety-one thousand, two hundred sixty-four".