229191457697280 has 1920 divisors, whose sum is σ = 880888684515840. Its totient is φ = 54727114752000.

The previous prime is 229191457697219. The next prime is 229191457697287. The reversal of 229191457697280 is 82796754191922.

It is a happy number.

229191457697280 is a `hidden beast` number, since 2 + 2 + 9 + 1 + 9 + 1 + 457 + 6 + 97 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 229191457697199 and 229191457697208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229191457697287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 723001443682 + ... + 723001443998.

It is an arithmetic number, because the mean of its divisors is an integer number (458796189852).

Almost surely, 2^{229191457697280} is an apocalyptic number.

229191457697280 is a gapful number since it is divisible by the number (20) 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 229191457697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440444342257920).

229191457697280 is an abundant number, since it is smaller than the sum of its proper divisors (651697226818560).

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

229191457697280 is a wasteful number, since it uses less digits than its factorization.

229191457697280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 229191457697280 in words is "two hundred twenty-nine trillion, one hundred ninety-one billion, four hundred fifty-seven million, six hundred ninety-seven thousand, two hundred eighty".