4758363456 has 224 divisors, whose sum is σ = 15757135872. Its totient is φ = 1231165440.

The previous prime is 4758363433. The next prime is 4758363497. The reversal of 4758363456 is 6543638574.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 4758363399 and 4758363408.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5425290 + ... + 5426166.

Almost surely, 2^4758363456 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 4758363456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7878567936).

4758363456 is an abundant number, since it is smaller than the sum of its proper divisors (10998772416).

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

4758363456 is a wasteful number, since it uses less digits than its factorization.

4758363456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1267 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 51.

The square root of 4758363456 is about 68980.8919629197. The cubic root of 4758363456 is about 1681.9737120646.

The spelling of 4758363456 in words is "four billion, seven hundred fifty-eight million, three hundred sixty-three thousand, four hundred fifty-six".