230778214128 has 480 divisors, whose sum is σ = 847671459840. Its totient is φ = 59935075200.

The previous prime is 230778214123. The next prime is 230778214133. The reversal of 230778214128 is 821412877032.

230778214128 is a `hidden beast` number, since 2 + 307 + 7 + 8 + 214 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (230778214123) and next prime (230778214133).

It is a super-2 number, since 2×230778214128² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230778214123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28170513 + ... + 28178703.

It is an arithmetic number, because the mean of its divisors is an integer number (1765982208).

Almost surely, 2^230778214128 is an apocalyptic number.

230778214128 is a gapful number since it is divisible by the number (28) 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 230778214128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423835729920).

230778214128 is an abundant number, since it is smaller than the sum of its proper divisors (616893245712).

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

230778214128 is a wasteful number, since it uses less digits than its factorization.

230778214128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 230778214128 in words is "two hundred thirty billion, seven hundred seventy-eight million, two hundred fourteen thousand, one hundred twenty-eight".