229181412096 has 1152 divisors, whose sum is σ = 890804633600. Its totient is φ = 56435097600.

The previous prime is 229181412049. The next prime is 229181412101. The reversal of 229181412096 is 690214181922.

It is a happy number.

229181412096 is a `hidden beast` number, since 229 + 1 + 8 + 1 + 412 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×229181412096² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1517757621 + ... + 1517757771.

Almost surely, 2^229181412096 is an apocalyptic number.

229181412096 is a gapful number since it is divisible by the number (26) 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 229181412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445402316800).

229181412096 is an abundant number, since it is smaller than the sum of its proper divisors (661623221504).

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

229181412096 is a wasteful number, since it uses less digits than its factorization.

229181412096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 229181412096 in words is "two hundred twenty-nine billion, one hundred eighty-one million, four hundred twelve thousand, ninety-six".