1003661614144 has 28 divisors (see below), whose sum is σ = 2276161161664. Its totient is φ = 430140691584.

The previous prime is 1003661614129. The next prime is 1003661614147. The reversal of 1003661614144 is 4414161663001.

1003661614144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×1003661614144² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1003661614147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1120157604 + ... + 1120158499.

Almost surely, 2^{1003661614144} is an apocalyptic number.

1003661614144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1003661614144 is an abundant number, since it is smaller than the sum of its proper divisors (1272499547520).

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

1003661614144 is an equidigital number, since it uses as much as digits as its factorization.

1003661614144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240316122 (or 2240316112 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 1003661614144 in words is "one trillion, three billion, six hundred sixty-one million, six hundred fourteen thousand, one hundred forty-four".