234969504000 has 1728 divisors, whose sum is σ = 1046894284800. Its totient is φ = 46061568000.

The previous prime is 234969503971. The next prime is 234969504047. The reversal of 234969504000 is 405969432.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 983135881 + ... + 983136119.

It is an arithmetic number, because the mean of its divisors is an integer number (605841600).

Almost surely, 2^234969504000 is an apocalyptic number.

234969504000 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 234969504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523447142400).

234969504000 is an abundant number, since it is smaller than the sum of its proper divisors (811924780800).

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

234969504000 is a wasteful number, since it uses less digits than its factorization.

234969504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 234969504000 in words is "two hundred thirty-four billion, nine hundred sixty-nine million, five hundred four thousand".