1006610016116 has 24 divisors (see below), whose sum is σ = 1768482733920. Its totient is φ = 501330625632.

The previous prime is 1006610016043. The next prime is 1006610016121. The reversal of 1006610016116 is 6116100166001.

It is a super-4 number, since 4×1006610016116⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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, 2747030 + ... + 3091826.

It is an arithmetic number, because the mean of its divisors is an integer number (73686780580).

Almost surely, 2^{1006610016116} is an apocalyptic number.

It is an amenable number.

1006610016116 is a deficient number, since it is larger than the sum of its proper divisors (761872717804).

1006610016116 is a wasteful number, since it uses less digits than its factorization.

1006610016116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347663 (or 347661 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 1006610016116 in words is "one trillion, six billion, six hundred ten million, sixteen thousand, one hundred sixteen".