4198837656 has 128 divisors (see below), whose sum is σ = 11890851840. Its totient is φ = 1226534400.

The previous prime is 4198837567. The next prime is 4198837661. The reversal of 4198837656 is 6567388914.

4198837656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4198837656² = 35260475322887148672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4198837596 and 4198837605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508521 + ... + 516711.

It is an arithmetic number, because the mean of its divisors is an integer number (92897280).

Almost surely, 2^4198837656 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 4198837656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945425920).

4198837656 is an abundant number, since it is smaller than the sum of its proper divisors (7692014184).

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

4198837656 is a wasteful number, since it uses less digits than its factorization.

4198837656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8297 (or 8293 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The square root of 4198837656 is about 64798.4386848943. The cubic root of 4198837656 is about 1613.2797942679.

The spelling of 4198837656 in words is "four billion, one hundred ninety-eight million, eight hundred thirty-seven thousand, six hundred fifty-six".