6117430542336 has 675 divisors, whose sum is σ = 19460949869361. Its totient is φ = 1914724417536.

The previous prime is 6117430542299. The next prime is 6117430542343. The reversal of 6117430542336 is 6332450347116.

The square root of 6117430542336 is 2473344.

It is a perfect power (a square), and thus also a powerful number.

6117430542336 is a `hidden beast` number, since 6 + 1 + 1 + 7 + 4 + 305 + 4 + 2 + 336 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107794022400 + 6009636519936 = 328320^2 + 2451456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6117430542291 and 6117430542300.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 54136553416 + ... + 54136553528.

Almost surely, 2^{6117430542336} is an apocalyptic number.

6117430542336 is the 2473344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6117430542336

6117430542336 is an abundant number, since it is smaller than the sum of its proper divisors (13343519327025).

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

6117430542336 is an frugal number, since it uses more digits than its factorization.

6117430542336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 6117430542336 in words is "six trillion, one hundred seventeen billion, four hundred thirty million, five hundred forty-two thousand, three hundred thirty-six".