229624045056 has 480 divisors, whose sum is σ = 817169715648. Its totient is φ = 60574924800.

The previous prime is 229624045037. The next prime is 229624045067. The reversal of 229624045056 is 650540426922.

229624045056 is a `hidden beast` number, since 22 + 96 + 2 + 40 + 450 + 56 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29058706 + ... + 29066606.

Almost surely, 2^229624045056 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 229624045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408584857824).

229624045056 is an abundant number, since it is smaller than the sum of its proper divisors (587545670592).

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

229624045056 is a wasteful number, since it uses less digits than its factorization.

229624045056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8002 (or 7983 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 229624045056 in words is "two hundred twenty-nine billion, six hundred twenty-four million, forty-five thousand, fifty-six".