230166986400 has 576 divisors, whose sum is σ = 903073449600. Its totient is φ = 56239349760.

The previous prime is 230166986377. The next prime is 230166986479. The reversal of 230166986400 is 4689661032.

230166986400 is a `hidden beast` number, since 2 + 3 + 0 + 166 + 9 + 86 + 400 = 666.

230166986400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×230166986400³ (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39028252 + ... + 39034148.

It is an arithmetic number, because the mean of its divisors is an integer number (1567835850).

Almost surely, 2^230166986400 is an apocalyptic number.

230166986400 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 230166986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451536724800).

230166986400 is an abundant number, since it is smaller than the sum of its proper divisors (672906463200).

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

230166986400 is a wasteful number, since it uses less digits than its factorization.

230166986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6078 (or 6059 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 230166986400 in words is "two hundred thirty billion, one hundred sixty-six million, nine hundred eighty-six thousand, four hundred".