229598498690064 has 1485 divisors, whose sum is σ = 830895909802941. Its totient is φ = 61269469148160.

The previous prime is 229598498690017. The next prime is 229598498690089. The reversal of 229598498690064 is 460096894895922.

The square root of 229598498690064 is 15152508.

It is a perfect power (a square), and thus also a powerful number.

229598498690064 is a `hidden beast` number, since 2 + 2 + 9 + 5 + 9 + 8 + 498 + 69 + 0 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 178753156419600 + 50845342270464 = 13369860^2 + 7130592^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 1752660295279 + ... + 1752660295409.

Almost surely, 2^{229598498690064} is an apocalyptic number.

229598498690064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

229598498690064 is the 15152508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229598498690064

229598498690064 is an abundant number, since it is smaller than the sum of its proper divisors (601297411112877).

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

229598498690064 is an frugal number, since it uses more digits than its factorization.

229598498690064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 4837294080, while the sum is 81.

229598498690064 divided by its sum of digits (81) gives a square (2834549366544 = 1683612²).

The spelling of 229598498690064 in words is "two hundred twenty-nine trillion, five hundred ninety-eight billion, four hundred ninety-eight million, six hundred ninety thousand, sixty-four".