166040955233344 has 63 divisors (see below), whose sum is σ = 330161283644997. Its totient is φ = 82851056590848.

The previous prime is 166040955233317. The next prime is 166040955233353. The reversal of 166040955233344 is 443332559040661.

The square root of 166040955233344 is 12885688.

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., 5996190458944 + 160044764774400 = 2448712^2 + 12650880^2 .

It is a super-2 number, since 2×166040955233344² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 61748215552 + ... + 61748218240.

Almost surely, 2^{166040955233344} is an apocalyptic number.

166040955233344 is the 12885688-th square number.

It is an amenable number.

166040955233344 is a deficient number, since it is larger than the sum of its proper divisors (164120328411653).

166040955233344 is an frugal number, since it uses more digits than its factorization.

166040955233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6588 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 55.

The spelling of 166040955233344 in words is "one hundred sixty-six trillion, forty billion, nine hundred fifty-five million, two hundred thirty-three thousand, three hundred forty-four".