229038717534480 has 2400 divisors, whose sum is σ = 1002461589423360. Its totient is φ = 48156068782080.

The previous prime is 229038717534449. The next prime is 229038717534533. The reversal of 229038717534480 is 84435717830922.

It is a happy number.

229038717534480 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 3 + 8 + 7 + 17 + 534 + 4 + 80 = 666.

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

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 479 ways as a sum of consecutive naturals, for example, 165849903390 + ... + 165849904770.

Almost surely, 2^{229038717534480} is an apocalyptic number.

229038717534480 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 229038717534480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501230794711680).

229038717534480 is an abundant number, since it is smaller than the sum of its proper divisors (773422871888880).

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

229038717534480 is a wasteful number, since it uses less digits than its factorization.

229038717534480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 229038717534480 in words is "two hundred twenty-nine trillion, thirty-eight billion, seven hundred seventeen million, five hundred thirty-four thousand, four hundred eighty".