229963445614728 has 192 divisors, whose sum is σ = 713650563400320. Its totient is φ = 65532277324800.

The previous prime is 229963445614711. The next prime is 229963445614729. The reversal of 229963445614728 is 827416544369922.

229963445614728 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 6 + 3 + 4 + 456 + 147 + 28 = 666.

It is a super-2 number, since 2×229963445614728² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (229963445614729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2443227508 + ... + 2443321628.

It is an arithmetic number, because the mean of its divisors is an integer number (3716930017710).

Almost surely, 2^{229963445614728} is an apocalyptic number.

229963445614728 is a gapful number since it is divisible by the number (28) 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 229963445614728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356825281700160).

229963445614728 is an abundant number, since it is smaller than the sum of its proper divisors (483687117785592).

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

229963445614728 is a wasteful number, since it uses less digits than its factorization.

229963445614728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106748 (or 106741 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 229963445614728 in words is "two hundred twenty-nine trillion, nine hundred sixty-three billion, four hundred forty-five million, six hundred fourteen thousand, seven hundred twenty-eight".