234716294268000 has 1152 divisors, whose sum is σ = 909984923527680. Its totient is φ = 59253829171200.

The previous prime is 234716294267969. The next prime is 234716294268161. The reversal of 234716294268000 is 862492617432.

It is a happy number.

234716294268000 is a `hidden beast` number, since 2 + 3 + 4 + 7 + 1 + 629 + 4 + 2 + 6 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31266320247 + ... + 31266327753.

It is an arithmetic number, because the mean of its divisors is an integer number (789917468340).

Almost surely, 2^{234716294268000} is an apocalyptic number.

234716294268000 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 234716294268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454992461763840).

234716294268000 is an abundant number, since it is smaller than the sum of its proper divisors (675268629259680).

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

234716294268000 is a wasteful number, since it uses less digits than its factorization.

234716294268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9259 (or 9229 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 234716294268000 in words is "two hundred thirty-four trillion, seven hundred sixteen billion, two hundred ninety-four million, two hundred sixty-eight thousand".