66157303433796 has 45 divisors (see below), whose sum is σ = 172948642022541. Its totient is φ = 22052385675648.

The previous prime is 66157303433789. The next prime is 66157303433807. The reversal of 66157303433796 is 69733430375166.

It is a happy number.

The square root of 66157303433796 is 8133714.

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

66157303433796 is a `hidden beast` number, since 6 + 6 + 157 + 30 + 34 + 337 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65988165356100 + 169138077696 = 8123310^2 + 411264^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 146180916 + ... + 146632788.

Almost surely, 2^{66157303433796} is an apocalyptic number.

66157303433796 is the 8133714-th square number.

It is an amenable number.

66157303433796 is an abundant number, since it is smaller than the sum of its proper divisors (106791338588745).

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

66157303433796 is an frugal number, since it uses more digits than its factorization.

66157303433796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903762 (or 451878 counting only the distinct ones).

The product of its (nonzero) digits is 154314720, while the sum is 63.

The spelling of 66157303433796 in words is "sixty-six trillion, one hundred fifty-seven billion, three hundred three million, four hundred thirty-three thousand, seven hundred ninety-six".