4992565248 has 448 divisors, whose sum is σ = 17191141200. Its totient is φ = 1433272320.

The previous prime is 4992565247. The next prime is 4992565261. The reversal of 4992565248 is 8425652994.

4992565248 is a `hidden beast` number, since 4 + 99 + 25 + 6 + 524 + 8 = 666.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4992565194 and 4992565203.

It is not an unprimeable number, because it can be changed into a prime (4992565241) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 262766583 + ... + 262766601.

Almost surely, 2^4992565248 is an apocalyptic number.

4992565248 is a gapful number since it is divisible by the number (48) 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 4992565248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8595570600).

4992565248 is an abundant number, since it is smaller than the sum of its proper divisors (12198575952).

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

4992565248 is an frugal number, since it uses more digits than its factorization.

4992565248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 35 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 4992565248 is about 70658.0869257016. The cubic root of 4992565248 is about 1709.1279764352.

The spelling of 4992565248 in words is "four billion, nine hundred ninety-two million, five hundred sixty-five thousand, two hundred forty-eight".