229216489946496 has 640 divisors, whose sum is σ = 754672960419840. Its totient is φ = 68612444651520.

The previous prime is 229216489946473. The next prime is 229216489946501. The reversal of 229216489946496 is 694649984612922.

229216489946496 is a `hidden beast` number, since 2 + 2 + 9 + 2 + 1 + 6 + 4 + 89 + 9 + 46 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1950670081 + ... + 1950787583.

It is an arithmetic number, because the mean of its divisors is an integer number (1179176500656).

Almost surely, 2^{229216489946496} is an apocalyptic number.

229216489946496 is a gapful number since it is divisible by the number (26) 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 229216489946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377336480209920).

229216489946496 is an abundant number, since it is smaller than the sum of its proper divisors (525456470473344).

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

229216489946496 is a wasteful number, since it uses less digits than its factorization.

229216489946496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117936 (or 117915 counting only the distinct ones).

The product of its digits is 5804752896, while the sum is 81.

The spelling of 229216489946496 in words is "two hundred twenty-nine trillion, two hundred sixteen billion, four hundred eighty-nine million, nine hundred forty-six thousand, four hundred ninety-six".