4925582966304 has 1536 divisors, whose sum is σ = 19869334732800. Its totient is φ = 1145969233920.

The previous prime is 4925582966303. The next prime is 4925582966309. The reversal of 4925582966304 is 4036692855294.

It is a happy number.

4925582966304 is a `hidden beast` number, since 49 + 2 + 5 + 582 + 9 + 6 + 6 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×4925582966304² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4925582966303) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4235238427 + ... + 4235239589.

It is an arithmetic number, because the mean of its divisors is an integer number (12935764800).

Almost surely, 2^{4925582966304} is an apocalyptic number.

4925582966304 is a gapful number since it is divisible by the number (44) 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 4925582966304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9934667366400).

4925582966304 is an abundant number, since it is smaller than the sum of its proper divisors (14943751766496).

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

4925582966304 is a wasteful number, since it uses less digits than its factorization.

4925582966304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 4925582966304 in words is "four trillion, nine hundred twenty-five billion, five hundred eighty-two million, nine hundred sixty-six thousand, three hundred four".