229391253504 has 360 divisors, whose sum is σ = 785476892928. Its totient is φ = 65532395520.

The previous prime is 229391253463. The next prime is 229391253541. The reversal of 229391253504 is 405352193922.

229391253504 is a `hidden beast` number, since 2 + 2 + 9 + 3 + 91 + 2 + 53 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 229391253504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27865069 + ... + 27873299.

Almost surely, 2^229391253504 is an apocalyptic number.

229391253504 is a gapful number since it is divisible by the number (24) 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 229391253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392738446464).

229391253504 is an abundant number, since it is smaller than the sum of its proper divisors (556085639424).

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

229391253504 is an frugal number, since it uses more digits than its factorization.

229391253504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8281 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 229391253504 in words is "two hundred twenty-nine billion, three hundred ninety-one million, two hundred fifty-three thousand, five hundred four".