229618041471000 has 1152 divisors, whose sum is σ = 1005795617299200. Its totient is φ = 46776267417600.

The previous prime is 229618041470981. The next prime is 229618041471023. The reversal of 229618041471000 is 174140816922.

229618041471000 is a `hidden beast` number, since 2 + 2 + 9 + 61 + 80 + 41 + 471 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×229618041471000³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 165566449 + ... + 166947551.

It is an arithmetic number, because the mean of its divisors is an integer number (873086473350).

Almost surely, 2^{229618041471000} is an apocalyptic number.

229618041471000 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 229618041471000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502897808649600).

229618041471000 is an abundant number, since it is smaller than the sum of its proper divisors (776177575828200).

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

229618041471000 is a wasteful number, since it uses less digits than its factorization.

229618041471000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381186 (or 1381162 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 229618041471000 in words is "two hundred twenty-nine trillion, six hundred eighteen billion, forty-one million, four hundred seventy-one thousand".