66098353216 has 63 divisors (see below), whose sum is σ = 152611678647. Its totient is φ = 28321695360.

The previous prime is 66098353201. The next prime is 66098353249. The reversal of 66098353216 is 61235389066.

It is a happy number.

The square root of 66098353216 is 257096.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 66098353216.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14395081 + ... + 14399671.

Almost surely, 2^66098353216 is an apocalyptic number.

66098353216 is the 257096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66098353216

66098353216 is an abundant number, since it is smaller than the sum of its proper divisors (86513325431).

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

66098353216 is an frugal number, since it uses more digits than its factorization.

66098353216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9208 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

Multiplying 66098353216 by its sum of digits (49), we get a square (3238819307584 = 1799672²).

66098353216 divided by its sum of digits (49) gives a square (1348945984 = 36728²).

The spelling of 66098353216 in words is "sixty-six billion, ninety-eight million, three hundred fifty-three thousand, two hundred sixteen".