684492312112128 has 352 divisors, whose sum is σ = 2183404301400000. Its totient is φ = 210580626604032.

The previous prime is 684492312112123. The next prime is 684492312112153. The reversal of 684492312112128 is 821211213294486.

684492312112128 is a `hidden beast` number, since 6 + 8 + 4 + 4 + 92 + 312 + 112 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (684492312112123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2391104748 + ... + 2391390996.

Almost surely, 2^{684492312112128} 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 684492312112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091702150700000).

684492312112128 is an abundant number, since it is smaller than the sum of its proper divisors (1498911989287872).

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

684492312112128 is a wasteful number, since it uses less digits than its factorization.

684492312112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292944 (or 292920 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 684492312112128 in words is "six hundred eighty-four trillion, four hundred ninety-two billion, three hundred twelve million, one hundred twelve thousand, one hundred twenty-eight".