4678454365056 has 192 divisors, whose sum is σ = 13555472580000. Its totient is φ = 1548770476032.

The previous prime is 4678454365051. The next prime is 4678454365061. The reversal of 4678454365056 is 6505634548764.

4678454365056 is a `hidden beast` number, since 4 + 6 + 7 + 84 + 5 + 43 + 6 + 505 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4678454365051) and next prime (4678454365061).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4678454365056² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4678454364984 and 4678454365002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4678454365051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133161700 + ... + 133196828.

Almost surely, 2^{4678454365056} 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 4678454365056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777736290000).

4678454365056 is an abundant number, since it is smaller than the sum of its proper divisors (8877018214944).

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

4678454365056 is a wasteful number, since it uses less digits than its factorization.

4678454365056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35941 (or 35926 counting only the distinct ones).

The product of its (nonzero) digits is 290304000, while the sum is 63.

The spelling of 4678454365056 in words is "four trillion, six hundred seventy-eight billion, four hundred fifty-four million, three hundred sixty-five thousand, fifty-six".