1006123149864 has 96 divisors (see below), whose sum is σ = 3114788639040. Its totient is φ = 287408563200.

The previous prime is 1006123149859. The next prime is 1006123149887. The reversal of 1006123149864 is 4689413216001.

1006123149864 is a `hidden beast` number, since 10 + 0 + 61 + 2 + 31 + 498 + 64 = 666.

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, 2472619 + ... + 2850629.

It is an arithmetic number, because the mean of its divisors is an integer number (32445714990).

Almost surely, 2^{1006123149864} is an apocalyptic number.

1006123149864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1006123149864 is an abundant number, since it is smaller than the sum of its proper divisors (2108665489176).

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

1006123149864 is a wasteful number, since it uses less digits than its factorization.

1006123149864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383311 (or 383304 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1006123149864 in words is "one trillion, six billion, one hundred twenty-three million, one hundred forty-nine thousand, eight hundred sixty-four".