229493958287364 has 81 divisors (see below), whose sum is σ = 596220853494357. Its totient is φ = 74429382225888.

The previous prime is 229493958287357. The next prime is 229493958287389. The reversal of 229493958287364 is 463782859394922.

The square root of 229493958287364 is 15149058.

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

229493958287364 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 93 + 95 + 8 + 2 + 87 + 364 = 666.

It can be written as a sum of positive squares in only one way, i.e., 205354345436100 + 24139612851264 = 14330190^2 + 4913208^2 .

It is a super-3 number, since 3×229493958287364³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3363056757 + ... + 3363124995.

Almost surely, 2^{229493958287364} is an apocalyptic number.

229493958287364 is the 15149058-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229493958287364

229493958287364 is an abundant number, since it is smaller than the sum of its proper divisors (366726895206993).

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

229493958287364 is an frugal number, since it uses more digits than its factorization.

229493958287364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136562 (or 68281 counting only the distinct ones).

The product of its digits is 11287019520, while the sum is 81.

The spelling of 229493958287364 in words is "two hundred twenty-nine trillion, four hundred ninety-three billion, nine hundred fifty-eight million, two hundred eighty-seven thousand, three hundred sixty-four".