1005525544144 has 160 divisors (see below), whose sum is σ = 2179370904192. Its totient is φ = 449340953600.

The previous prime is 1005525544141. The next prime is 1005525544201. The reversal of 1005525544144 is 4414455255001.

It is a super-2 number, since 2×1005525544144² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005525544097 and 1005525544106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005525544141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312176454 + ... + 312179674.

Almost surely, 2^{1005525544144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005525544144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089685452096).

1005525544144 is an abundant number, since it is smaller than the sum of its proper divisors (1173845360048).

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

1005525544144 is a wasteful number, since it uses less digits than its factorization.

1005525544144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 40.

The spelling of 1005525544144 in words is "one trillion, five billion, five hundred twenty-five million, five hundred forty-four thousand, one hundred forty-four".