230714265600 has 1872 divisors, whose sum is σ = 1069880898240. Its totient is φ = 48306585600.

The previous prime is 230714265589. The next prime is 230714265637. The reversal of 230714265600 is 6562417032.

230714265600 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 1 + 42 + 6 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1761177535 + ... + 1761177665.

Almost surely, 2^230714265600 is an apocalyptic number.

230714265600 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 230714265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534940449120).

230714265600 is an abundant number, since it is smaller than the sum of its proper divisors (839166632640).

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

230714265600 is a wasteful number, since it uses less digits than its factorization.

230714265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 230714265600 in words is "two hundred thirty billion, seven hundred fourteen million, two hundred sixty-five thousand, six hundred".