66738148712964 has 81 divisors (see below), whose sum is σ = 170365855118823. Its totient is φ = 22028401961424.

The previous prime is 66738148712903. The next prime is 66738148713011. The reversal of 66738148712964 is 46921784183766.

The square root of 66738148712964 is 8169342.

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

66738148712964 is a `hidden beast` number, since 6 + 6 + 7 + 3 + 81 + 487 + 1 + 2 + 9 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66738148712892 and 66738148712901.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5048646747 + ... + 5048659965.

Almost surely, 2^{66738148712964} is an apocalyptic number.

66738148712964 is the 8169342-nd square number.

It is an amenable number.

66738148712964 is an abundant number, since it is smaller than the sum of its proper divisors (103627706405859).

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

66738148712964 is an equidigital number, since it uses as much as digits as its factorization.

66738148712964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26654 (or 13327 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 66738148712964 in words is "sixty-six trillion, seven hundred thirty-eight billion, one hundred forty-eight million, seven hundred twelve thousand, nine hundred sixty-four".