230129015004 has 192 divisors, whose sum is σ = 736046438400. Its totient is φ = 60723565056.

The previous prime is 230129014991. The next prime is 230129015009. The reversal of 230129015004 is 400510921032.

230129015004 is a `hidden beast` number, since 2 + 30 + 129 + 0 + 1 + 500 + 4 = 666.

It is a super-2 number, since 2×230129015004² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230129015009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 276064 + ... + 732440.

It is an arithmetic number, because the mean of its divisors is an integer number (3833575200).

Almost surely, 2^230129015004 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 230129015004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368023219200).

230129015004 is an abundant number, since it is smaller than the sum of its proper divisors (505917423396).

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

230129015004 is a wasteful number, since it uses less digits than its factorization.

230129015004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456449 (or 456441 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 230129015004 its reverse (400510921032), we get a palindrome (630639936036).

The spelling of 230129015004 in words is "two hundred thirty billion, one hundred twenty-nine million, fifteen thousand, four".