166043210256 has 735 divisors, whose sum is σ = 618540297823. Its totient is φ = 43128106560.

The previous prime is 166043210243. The next prime is 166043210269. The reversal of 166043210256 is 652012340661.

The square root of 166043210256 is 407484.

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

166043210256 is a `hidden beast` number, since 1 + 6 + 604 + 3 + 21 + 0 + 25 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (166043210243) and next prime (166043210269).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 166043210256.

It is an unprimeable number.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 15094837291 + ... + 15094837301.

Almost surely, 2^166043210256 is an apocalyptic number.

166043210256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

166043210256 is the 407484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166043210256

166043210256 is an abundant number, since it is smaller than the sum of its proper divisors (452497087567).

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

166043210256 is an frugal number, since it uses more digits than its factorization.

166043210256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 166043210256 by its sum of digits (36), we get a square (5977555569216 = 2444904²).

166043210256 divided by its sum of digits (36) gives a square (4612311396 = 67914²).

The spelling of 166043210256 in words is "one hundred sixty-six billion, forty-three million, two hundred ten thousand, two hundred fifty-six".