234714812140368 has 800 divisors, whose sum is σ = 794731583923200. Its totient is φ = 65496334786560.

The previous prime is 234714812140349. The next prime is 234714812140387. The reversal of 234714812140368 is 863041218417432.

234714812140368 is a `hidden beast` number, since 2 + 3 + 4 + 71 + 48 + 121 + 403 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (234714812140349) and next prime (234714812140387).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 111822205783 + ... + 111822207881.

It is an arithmetic number, because the mean of its divisors is an integer number (993414479904).

Almost surely, 2^{234714812140368} is an apocalyptic number.

234714812140368 is a gapful number since it is divisible by the number (28) 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 234714812140368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397365791961600).

234714812140368 is an abundant number, since it is smaller than the sum of its proper divisors (560016771782832).

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

234714812140368 is a wasteful number, since it uses less digits than its factorization.

234714812140368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 234714812140368 in words is "two hundred thirty-four trillion, seven hundred fourteen billion, eight hundred twelve million, one hundred forty thousand, three hundred sixty-eight".