1001005600014 has 64 divisors (see below), whose sum is σ = 2542620487680. Its totient is φ = 285958395360.

The previous prime is 1001005599973. The next prime is 1001005600027. The reversal of 1001005600014 is 4100065001001.

1001005600014 is a `hidden beast` number, since 1 + 0 + 0 + 100 + 560 + 0 + 0 + 1 + 4 = 666.

It is a super-2 number, since 2×1001005600014² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1001005600014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2348419 + ... + 2741729.

It is an arithmetic number, because the mean of its divisors is an integer number (39728445120).

Almost surely, 2^{1001005600014} is an apocalyptic number.

1001005600014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1001005600014 is an abundant number, since it is smaller than the sum of its proper divisors (1541614887666).

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

1001005600014 is a wasteful number, since it uses less digits than its factorization.

1001005600014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400062 (or 400056 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 1001005600014 in words is "one trillion, one billion, five million, six hundred thousand, fourteen".