229595261690952 has 224 divisors, whose sum is σ = 656587679806080. Its totient is φ = 75212272759680.

The previous prime is 229595261690939. The next prime is 229595261690969. The reversal of 229595261690952 is 259096162595922.

229595261690952 is a `hidden beast` number, since 2 + 2 + 9 + 5 + 9 + 526 + 1 + 6 + 9 + 0 + 95 + 2 = 666.

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

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 413462113 + ... + 414017039.

Almost surely, 2^{229595261690952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229595261690952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328293839903040).

229595261690952 is an abundant number, since it is smaller than the sum of its proper divisors (426992418115128).

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

229595261690952 is a wasteful number, since it uses less digits than its factorization.

229595261690952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556175 (or 556156 counting only the distinct ones).

The product of its (nonzero) digits is 472392000, while the sum is 72.

The spelling of 229595261690952 in words is "two hundred twenty-nine trillion, five hundred ninety-five billion, two hundred sixty-one million, six hundred ninety thousand, nine hundred fifty-two".