230477219617968 has 640 divisors, whose sum is σ = 680627637043200. Its totient is φ = 74657811456000.

The previous prime is 230477219617889. The next prime is 230477219618003. The reversal of 230477219617968 is 869716912774032.

230477219617968 is a `hidden beast` number, since 2 + 3 + 0 + 477 + 2 + 1 + 9 + 61 + 7 + 96 + 8 = 666.

230477219617968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 230477219617896 and 230477219617905.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 217226408158 + ... + 217226409218.

It is an arithmetic number, because the mean of its divisors is an integer number (1063480682880).

Almost surely, 2^{230477219617968} 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 230477219617968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340313818521600).

230477219617968 is an abundant number, since it is smaller than the sum of its proper divisors (450150417425232).

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

230477219617968 is a wasteful number, since it uses less digits than its factorization.

230477219617968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 230477219617968 in words is "two hundred thirty trillion, four hundred seventy-seven billion, two hundred nineteen million, six hundred seventeen thousand, nine hundred sixty-eight".