229117578480 has 400 divisors, whose sum is σ = 957308014080. Its totient is φ = 49613243904.

The previous prime is 229117578479. The next prime is 229117578541. The reversal of 229117578480 is 84875711922.

229117578480 is a `hidden beast` number, since 2 + 2 + 91 + 1 + 7 + 5 + 78 + 480 = 666.

229117578480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×229117578480² (a number of 24 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 728917 + ... + 994763.

Almost surely, 2^229117578480 is an apocalyptic number.

229117578480 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 229117578480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478654007040).

229117578480 is an abundant number, since it is smaller than the sum of its proper divisors (728190435600).

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

229117578480 is a wasteful number, since it uses less digits than its factorization.

229117578480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265898 (or 265883 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 229117578480 in words is "two hundred twenty-nine billion, one hundred seventeen million, five hundred seventy-eight thousand, four hundred eighty".