4136161968 has 100 divisors (see below), whose sum is σ = 12002899920. Its totient is φ = 1375076736.

The previous prime is 4136161907. The next prime is 4136161973. The reversal of 4136161968 is 8691616314.

4136161968 is a `hidden beast` number, since 4 + 13 + 616 + 19 + 6 + 8 = 666.

It is a Cunningham number, because it is equal to 64313²-1.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 510493 + ... + 518531.

Almost surely, 2^4136161968 is an apocalyptic number.

4136161968 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 4136161968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001449960).

4136161968 is an abundant number, since it is smaller than the sum of its proper divisors (7866737952).

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

4136161968 is a wasteful number, since it uses less digits than its factorization.

4136161968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8456 (or 8441 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 4136161968 is about 64312.9999922255. Note that the first 5 decimals coincide. The cubic root of 4136161968 is about 1605.2124236268.

The spelling of 4136161968 in words is "four billion, one hundred thirty-six million, one hundred sixty-one thousand, nine hundred sixty-eight".