4968348192 has 240 divisors, whose sum is σ = 15807052800. Its totient is φ = 1524897792.

The previous prime is 4968348173. The next prime is 4968348199. The reversal of 4968348192 is 2918438694.

It is a super-3 number, since 3×4968348192³ (a number of 30 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4968348199) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2069809 + ... + 2072207.

It is an arithmetic number, because the mean of its divisors is an integer number (65862720).

Almost surely, 2^4968348192 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 4968348192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7903526400).

4968348192 is an abundant number, since it is smaller than the sum of its proper divisors (10838704608).

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

4968348192 is a wasteful number, since it uses less digits than its factorization.

4968348192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2468 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 4968348192 is about 70486.5107094967. The cubic root of 4968348192 is about 1706.3600505759.

The spelling of 4968348192 in words is "four billion, nine hundred sixty-eight million, three hundred forty-eight thousand, one hundred ninety-two".