230172889838976 has 3584 divisors, whose sum is σ = 890032872960000. Its totient is φ = 57787282538496.

The previous prime is 230172889838953. The next prime is 230172889838981. The reversal of 230172889838976 is 679838988271032.

230172889838976 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 7 + 2 + 88 + 98 + 389 + 76 = 666.

230172889838976 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-2 number, since 2×230172889838976² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 230172889838895 and 230172889838904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1655920070715 + ... + 1655920070853.

It is an arithmetic number, because the mean of its divisors is an integer number (248335065000).

Almost surely, 2^{230172889838976} 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 230172889838976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445016436480000).

230172889838976 is an abundant number, since it is smaller than the sum of its proper divisors (659859983121024).

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

230172889838976 is a wasteful number, since it uses less digits than its factorization.

230172889838976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 81.

The spelling of 230172889838976 in words is "two hundred thirty trillion, one hundred seventy-two billion, eight hundred eighty-nine million, eight hundred thirty-eight thousand, nine hundred seventy-six".