66814097038656 has 224 divisors, whose sum is σ = 196537068748800. Its totient is φ = 19859768248320.

The previous prime is 66814097038621. The next prime is 66814097038679. The reversal of 66814097038656 is 65683079041866.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465470065 + ... + 465613583.

Almost surely, 2^{66814097038656} is an apocalyptic number.

66814097038656 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 66814097038656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98268534374400).

66814097038656 is an abundant number, since it is smaller than the sum of its proper divisors (129722971710144).

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

66814097038656 is a wasteful number, since it uses less digits than its factorization.

66814097038656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147757 (or 147747 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 69.

The spelling of 66814097038656 in words is "sixty-six trillion, eight hundred fourteen billion, ninety-seven million, thirty-eight thousand, six hundred fifty-six".