1005503445144 has 48 divisors (see below), whose sum is σ = 2970805635720. Its totient is φ = 304698013440.

The previous prime is 1005503445127. The next prime is 1005503445161. The reversal of 1005503445144 is 4415443055001.

1005503445144 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 503 + 4 + 4 + 5 + 144 = 666.

1005503445144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1005503445127) and next prime (1005503445161).

It is a super-2 number, since 2×1005503445144² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1005503445099 and 1005503445108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634786737 + ... + 634788320.

Almost surely, 2^{1005503445144} is an apocalyptic number.

It is an amenable number.

1005503445144 is an abundant number, since it is smaller than the sum of its proper divisors (1965302190576).

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

1005503445144 is a wasteful number, since it uses less digits than its factorization.

1005503445144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269575080 (or 1269575073 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 1005503445144 in words is "one trillion, five billion, five hundred three million, four hundred forty-five thousand, one hundred forty-four".