229562161920 has 1728 divisors, whose sum is σ = 1031206176000. Its totient is φ = 46820229120.

The previous prime is 229562161891. The next prime is 229562161981. The reversal of 229562161920 is 29161265922.

229562161920 is a `hidden beast` number, since 2 + 2 + 9 + 5 + 6 + 2 + 1 + 619 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2106074826 + ... + 2106074934.

Almost surely, 2^229562161920 is an apocalyptic number.

229562161920 is a gapful number since it is divisible by the number (20) 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 229562161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515603088000).

229562161920 is an abundant number, since it is smaller than the sum of its proper divisors (801644014080).

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

229562161920 is a wasteful number, since it uses less digits than its factorization.

229562161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 229562161920 in words is "two hundred twenty-nine billion, five hundred sixty-two million, one hundred sixty-one thousand, nine hundred twenty".