230709952512 has 384 divisors, whose sum is σ = 740681812800. Its totient is φ = 70941671424.

The previous prime is 230709952439. The next prime is 230709952513. The reversal of 230709952512 is 215259907032.

230709952512 is a `hidden beast` number, since 2 + 30 + 7 + 0 + 99 + 525 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×230709952512² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230709952513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149519613 + ... + 149521155.

Almost surely, 2^230709952512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230709952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370340906400).

230709952512 is an abundant number, since it is smaller than the sum of its proper divisors (509971860288).

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

230709952512 is an equidigital number, since it uses as much as digits as its factorization.

230709952512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 230709952512 in words is "two hundred thirty billion, seven hundred nine million, nine hundred fifty-two thousand, five hundred twelve".