229601313876480 has 1440 divisors, whose sum is σ = 932399517861504. Its totient is φ = 47774321344512.

The previous prime is 229601313876469. The next prime is 229601313876503. The reversal of 229601313876480 is 84678313106922.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26070316237 + ... + 26070325043.

Almost surely, 2^{229601313876480} is an apocalyptic number.

229601313876480 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 229601313876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466199758930752).

229601313876480 is an abundant number, since it is smaller than the sum of its proper divisors (702798203985024).

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

229601313876480 is an equidigital number, since it uses as much as digits as its factorization.

229601313876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006 (or 8910 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 229601313876480 in words is "two hundred twenty-nine trillion, six hundred one billion, three hundred thirteen million, eight hundred seventy-six thousand, four hundred eighty".