229470984576000 has 1056 divisors, whose sum is σ = 833729582070528. Its totient is φ = 60690058444800.

The previous prime is 229470984575969. The next prime is 229470984576007. The reversal of 229470984576000 is 675489074922.

229470984576000 is a `hidden beast` number, since 2 + 2 + 9 + 470 + 98 + 4 + 5 + 76 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229470984576007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82931326617 + ... + 82931329383.

It is an arithmetic number, because the mean of its divisors is an integer number (789516649688).

Almost surely, 2^{229470984576000} is an apocalyptic number.

229470984576000 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 229470984576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416864791035264).

229470984576000 is an abundant number, since it is smaller than the sum of its proper divisors (604258597494528).

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

229470984576000 is a wasteful number, since it uses less digits than its factorization.

229470984576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 229470984576000 in words is "two hundred twenty-nine trillion, four hundred seventy billion, nine hundred eighty-four million, five hundred seventy-six thousand".