4198506048 has 560 divisors, whose sum is σ = 14817230208. Its totient is φ = 1161216000.

The previous prime is 4198506047. The next prime is 4198506079. The reversal of 4198506048 is 8406058914.

It is a junction number, because it is equal to n+sod(n) for n = 4198505994 and 4198506012.

It is not an unprimeable number, because it can be changed into a prime (4198506047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59133853 + ... + 59133923.

Almost surely, 2^4198506048 is an apocalyptic number.

4198506048 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 4198506048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408615104).

4198506048 is an abundant number, since it is smaller than the sum of its proper divisors (10618724160).

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

4198506048 is a wasteful number, since it uses less digits than its factorization.

4198506048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4198506048 is about 64795.8798690164. The cubic root of 4198506048 is about 1613.2373229450.

The spelling of 4198506048 in words is "four billion, one hundred ninety-eight million, five hundred six thousand, forty-eight".