229374431553792 has 432 divisors, whose sum is σ = 744851532257280. Its totient is φ = 61352395788288.

The previous prime is 229374431553767. The next prime is 229374431553797. The reversal of 229374431553792 is 297355134473922.

It is a super-2 number, since 2×229374431553792² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (229374431553797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132805459 + ... + 134521517.

Almost surely, 2^{229374431553792} 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 229374431553792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372425766128640).

229374431553792 is an abundant number, since it is smaller than the sum of its proper divisors (515477100703488).

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

229374431553792 is a wasteful number, since it uses less digits than its factorization.

229374431553792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716178 (or 1716141 counting only the distinct ones).

The product of its digits is 342921600, while the sum is 66.

The spelling of 229374431553792 in words is "two hundred twenty-nine trillion, three hundred seventy-four billion, four hundred thirty-one million, five hundred fifty-three thousand, seven hundred ninety-two".