1006456634241 has 8 divisors (see below), whose sum is σ = 1341950881824. Its totient is φ = 670966738080.

The previous prime is 1006456634237. The next prime is 1006456634243. The reversal of 1006456634241 is 1424366546001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1006456634241 - 2² = 1006456634237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006456634193 and 1006456634202.

It is not an unprimeable number, because it can be changed into a prime (1006456634243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503295 + ... + 1505396.

It is an arithmetic number, because the mean of its divisors is an integer number (167743860228).

Almost surely, 2^{1006456634241} is an apocalyptic number.

It is an amenable number.

1006456634241 is a deficient number, since it is larger than the sum of its proper divisors (335494247583).

1006456634241 is a wasteful number, since it uses less digits than its factorization.

1006456634241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175711.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 1006456634241 in words is "one trillion, six billion, four hundred fifty-six million, six hundred thirty-four thousand, two hundred forty-one".