4278923864064 has 360 divisors, whose sum is σ = 12947786781930. Its totient is φ = 1407912689664.

The previous prime is 4278923864063. The next prime is 4278923864093. The reversal of 4278923864064 is 4604683298724.

4278923864064 is a `hidden beast` number, since 4 + 2 + 78 + 92 + 386 + 40 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3230675518464 + 1048248345600 = 1797408^2 + 1023840^2 .

It is a super-3 number, since 3×4278923864064³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4278923863992 and 4278923864010.

It is not an unprimeable number, because it can be changed into a prime (4278923864063) 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 29 ways as a sum of consecutive naturals, for example, 1035304942 + ... + 1035309074.

Almost surely, 2^{4278923864064} 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 4278923864064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473893390965).

4278923864064 is an abundant number, since it is smaller than the sum of its proper divisors (8668862917866).

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

4278923864064 is an frugal number, since it uses more digits than its factorization.

4278923864064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 4278923864064 in words is "four trillion, two hundred seventy-eight billion, nine hundred twenty-three million, eight hundred sixty-four thousand, sixty-four".