230166649152 has 504 divisors, whose sum is σ = 777850819200. Its totient is φ = 64787374080.

The previous prime is 230166649133. The next prime is 230166649157. The reversal of 230166649152 is 251946661032.

It is a junction number, because it is equal to n+sod(n) for n = 230166649098 and 230166649107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230166649157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93600499 + ... + 93602957.

It is an arithmetic number, because the mean of its divisors is an integer number (1543354800).

Almost surely, 2^230166649152 is an apocalyptic number.

230166649152 is a gapful number since it is divisible by the number (22) 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 230166649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388925409600).

230166649152 is an abundant number, since it is smaller than the sum of its proper divisors (547684170048).

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

230166649152 is a wasteful number, since it uses less digits than its factorization.

230166649152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 230166649152 in words is "two hundred thirty billion, one hundred sixty-six million, six hundred forty-nine thousand, one hundred fifty-two".