229131441792000 has 4928 divisors, whose sum is σ = 1018608790118400. Its totient is φ = 50791587840000.

The previous prime is 229131441791893. The next prime is 229131441792007. The reversal of 229131441792000 is 297144131922.

229131441792000 is a `hidden beast` number, since 2 + 2 + 9 + 13 + 14 + 417 + 9 + 200 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (229131441792007) by changing a digit.

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 447 ways as a sum of consecutive naturals, for example, 604568447811 + ... + 604568448189.

Almost surely, 2^{229131441792000} is an apocalyptic number.

229131441792000 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 229131441792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509304395059200).

229131441792000 is an abundant number, since it is smaller than the sum of its proper divisors (789477348326400).

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

229131441792000 is a wasteful number, since it uses less digits than its factorization.

229131441792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 229131441792000 in words is "two hundred twenty-nine trillion, one hundred thirty-one billion, four hundred forty-one million, seven hundred ninety-two thousand".