234615414200 has 96 divisors (see below), whose sum is σ = 553890322560. Its totient is φ = 92400739200.

The previous prime is 234615414199. The next prime is 234615414227. The reversal of 234615414200 is 2414516432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47848949 + ... + 47853851.

It is an arithmetic number, because the mean of its divisors is an integer number (5769690860).

Almost surely, 2^234615414200 is an apocalyptic number.

234615414200 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 234615414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276945161280).

234615414200 is an abundant number, since it is smaller than the sum of its proper divisors (319274908360).

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

234615414200 is a wasteful number, since it uses less digits than its factorization.

234615414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8557 (or 8548 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 234615414200 in words is "two hundred thirty-four billion, six hundred fifteen million, four hundred fourteen thousand, two hundred".