2166000966756 has 135 divisors (see below), whose sum is σ = 6224747632873. Its totient is φ = 656275625280.

The previous prime is 2166000966749. The next prime is 2166000966797. The reversal of 2166000966756 is 6576690006612.

The square root of 2166000966756 is 1471734.

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

2166000966756 is a `hidden beast` number, since 21 + 6 + 600 + 0 + 9 + 6 + 6 + 7 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 129146796900 + 2036854169856 = 359370^2 + 1427184^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 291399616 + ... + 291407048.

Almost surely, 2^{2166000966756} is an apocalyptic number.

2166000966756 is the 1471734-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166000966756

2166000966756 is an abundant number, since it is smaller than the sum of its proper divisors (4058746666117).

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

2166000966756 is an frugal number, since it uses more digits than its factorization.

2166000966756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14904 (or 7449 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 2166000966756 in words is "two trillion, one hundred sixty-six billion, nine hundred sixty-six thousand, seven hundred fifty-six".