2007886166001 has 9 divisors (see below), whose sum is σ = 2900286157899. Its totient is φ = 1338587943336.

The previous prime is 2007886165903. The next prime is 2007886166017. The reversal of 2007886166001 is 1006616887002.

It is a happy number.

The square root of 2007886166001 is 1416999.

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

2007886166001 is a `hidden beast` number, since 20 + 0 + 7 + 8 + 8 + 6 + 16 + 600 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1035540288225 + 972345877776 = 1017615^2 + 986076^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2007886166001 - 2²³ = 2007877777393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2007886166051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4014831 + ... + 4487163.

Almost surely, 2^{2007886166001} is an apocalyptic number.

2007886166001 is the 1416999-th square number.

2007886166001 is the 708500-th centered octagonal number.

It is an amenable number.

2007886166001 is a deficient number, since it is larger than the sum of its proper divisors (892399991898).

2007886166001 is an frugal number, since it uses more digits than its factorization.

2007886166001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944672 (or 472336 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2007886166001 in words is "two trillion, seven billion, eight hundred eighty-six million, one hundred sixty-six thousand, one".