166394829945744 has 495 divisors, whose sum is σ = 506399343005073. Its totient is φ = 52961477031936.

The previous prime is 166394829945713. The next prime is 166394829945781. The reversal of 166394829945744 is 447549928493661.

The square root of 166394829945744 is 12899412.

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

166394829945744 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 9 + 482 + 9 + 94 + 5 + 7 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 165243312090000 + 1151517855744 = 12854700^2 + 1073088^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 288379254384 + ... + 288379254960.

Almost surely, 2^{166394829945744} is an apocalyptic number.

166394829945744 is the 12899412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166394829945744

166394829945744 is an abundant number, since it is smaller than the sum of its proper divisors (340004513059329).

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

166394829945744 is an frugal number, since it uses more digits than its factorization.

166394829945744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 605 counting only the distinct ones).

The product of its digits is 11287019520, while the sum is 81.

166394829945744 divided by its sum of digits (81) gives a square (2054257159824 = 1433268²).

The spelling of 166394829945744 in words is "one hundred sixty-six trillion, three hundred ninety-four billion, eight hundred twenty-nine million, nine hundred forty-five thousand, seven hundred forty-four".