6006342214656 has 495 divisors, whose sum is σ = 20271417907793. Its totient is φ = 1712803921920.

The previous prime is 6006342214601. The next prime is 6006342214661. The reversal of 6006342214656 is 6564122436006.

It is a happy number.

The square root of 6006342214656 is 2450784.

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

6006342214656 is a `hidden beast` number, since 6 + 0 + 0 + 634 + 2 + 2 + 1 + 4 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1722435757056 + 4283906457600 = 1312416^2 + 2069760^2 .

It is a super-2 number, since 2×6006342214656² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

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, 11528487676 + ... + 11528488196.

Almost surely, 2^{6006342214656} is an apocalyptic number.

6006342214656 is the 2450784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6006342214656

6006342214656 is an abundant number, since it is smaller than the sum of its proper divisors (14265075693137).

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

6006342214656 is an frugal number, since it uses more digits than its factorization.

6006342214656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 6006342214656 in words is "six trillion, six billion, three hundred forty-two million, two hundred fourteen thousand, six hundred fifty-six".