234489600000 has 1152 divisors, whose sum is σ = 921316032000. Its totient is φ = 58798080000.

The previous prime is 234489599969. The next prime is 234489600019. The reversal of 234489600000 is 6984432.

It is a happy number.

234489600000 is a `hidden beast` number, since 2 + 3 + 4 + 48 + 9 + 600 + 0 + 0 + 0 = 666.

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

It is a super-4 number, since 4×234489600000⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3974399971 + ... + 3974400029.

It is an arithmetic number, because the mean of its divisors is an integer number (799753500).

Almost surely, 2^234489600000 is an apocalyptic number.

234489600000 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 234489600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460658016000).

234489600000 is an abundant number, since it is smaller than the sum of its proper divisors (686826432000).

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

234489600000 is an frugal number, since it uses more digits than its factorization.

234489600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 234489600000 in words is "two hundred thirty-four billion, four hundred eighty-nine million, six hundred thousand".