1006466006465 has 24 divisors (see below), whose sum is σ = 1220570940984. Its totient is φ = 796720320000.

The previous prime is 1006466006459. The next prime is 1006466006479. The reversal of 1006466006465 is 5646006646001.

1006466006465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 261615882256 + 744850124209 = 511484^2 + 863047^2 .

It is not a de Polignac number, because 1006466006465 - 2⁸ = 1006466006209 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101648015 + ... + 101657915.

It is an arithmetic number, because the mean of its divisors is an integer number (50857122541).

Almost surely, 2^{1006466006465} is an apocalyptic number.

It is an amenable number.

1006466006465 is a deficient number, since it is larger than the sum of its proper divisors (214104934519).

1006466006465 is an equidigital number, since it uses as much as digits as its factorization.

1006466006465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12101 (or 12000 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 1006466006465 in words is "one trillion, six billion, four hundred sixty-six million, six thousand, four hundred sixty-five".