234660331368000 has 1344 divisors, whose sum is σ = 937345185504000. Its totient is φ = 57896438169600.

The previous prime is 234660331367893. The next prime is 234660331368007. The reversal of 234660331368000 is 863133066432.

234660331368000 is a `hidden beast` number, since 2 + 3 + 4 + 6 + 603 + 3 + 1 + 36 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×234660331368000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (234660331368007) by changing a digit.

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, 1949771826 + ... + 1949892174.

It is an arithmetic number, because the mean of its divisors is an integer number (697429453500).

Almost surely, 2^{234660331368000} is an apocalyptic number.

234660331368000 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 234660331368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468672592752000).

234660331368000 is an abundant number, since it is smaller than the sum of its proper divisors (702684854136000).

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

234660331368000 is a wasteful number, since it uses less digits than its factorization.

234660331368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120467 (or 120435 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 234660331368000 in words is "two hundred thirty-four trillion, six hundred sixty billion, three hundred thirty-one million, three hundred sixty-eight thousand".