234664013829960 has 512 divisors, whose sum is σ = 920007595584000. Its totient is φ = 52452591206400.

The previous prime is 234664013829899. The next prime is 234664013829967. The reversal of 234664013829960 is 69928310466432.

234664013829960 is a `hidden beast` number, since 2 + 3 + 4 + 6 + 6 + 401 + 3 + 82 + 99 + 60 = 666.

It is not an unprimeable number, because it can be changed into a prime (234664013829967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135199296 + ... + 136923984.

It is an arithmetic number, because the mean of its divisors is an integer number (1796889835125).

Almost surely, 2^{234664013829960} is an apocalyptic number.

234664013829960 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 234664013829960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460003797792000).

234664013829960 is an abundant number, since it is smaller than the sum of its proper divisors (685343581754040).

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

234664013829960 is a wasteful number, since it uses less digits than its factorization.

234664013829960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725614 (or 1725604 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 234664013829960 in words is "two hundred thirty-four trillion, six hundred sixty-four billion, thirteen million, eight hundred twenty-nine thousand, nine hundred sixty".