66216888165376 has 297 divisors, whose sum is σ = 148342538796849. Its totient is φ = 29528910028800.

The previous prime is 66216888165341. The next prime is 66216888165457. The reversal of 66216888165376 is 67356188861266.

The square root of 66216888165376 is 8137376.

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

It can be written as a sum of positive squares in only one way, i.e., 9795397657600 + 56421490507776 = 3129760^2 + 7511424^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66216888165299 and 66216888165308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104939600581 + ... + 104939601211.

Almost surely, 2^{66216888165376} is an apocalyptic number.

66216888165376 is the 8137376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66216888165376

66216888165376 is an abundant number, since it is smaller than the sum of its proper divisors (82125650631473).

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

66216888165376 is an frugal number, since it uses more digits than its factorization.

66216888165376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 677 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 73.

The spelling of 66216888165376 in words is "sixty-six trillion, two hundred sixteen billion, eight hundred eighty-eight million, one hundred sixty-five thousand, three hundred seventy-six".