6136216416 has 144 divisors (see below), whose sum is σ = 19073553408. Its totient is φ = 1855814400.

The previous prime is 6136216403. The next prime is 6136216423. The reversal of 6136216416 is 6146126316.

It is a happy number.

6136216416 is a `hidden beast` number, since 6 + 1 + 3 + 6 + 2 + 1 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1921381 + ... + 1924571.

It is an arithmetic number, because the mean of its divisors is an integer number (132455232).

Almost surely, 2^6136216416 is an apocalyptic number.

6136216416 is a gapful number since it is divisible by the number (66) 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 6136216416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9536776704).

6136216416 is an abundant number, since it is smaller than the sum of its proper divisors (12937336992).

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

6136216416 is a wasteful number, since it uses less digits than its factorization.

6136216416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3814 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 6136216416 is about 78334.0054893148. The cubic root of 6136216416 is about 1830.7690255266.

The spelling of 6136216416 in words is "six billion, one hundred thirty-six million, two hundred sixteen thousand, four hundred sixteen".