1005116526144 has 168 divisors, whose sum is σ = 3019382084160. Its totient is φ = 319071532032.

The previous prime is 1005116526133. The next prime is 1005116526217. The reversal of 1005116526144 is 4416256115001.

1005116526144 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 116 + 526 + 14 + 4 = 666.

It is a super-2 number, since 2×1005116526144² (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 = 1005116526099 and 1005116526108.

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, 2868139 + ... + 3199445.

Almost surely, 2^{1005116526144} 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 1005116526144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509691042080).

1005116526144 is an abundant number, since it is smaller than the sum of its proper divisors (2014265558016).

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

1005116526144 is a wasteful number, since it uses less digits than its factorization.

1005116526144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331577 (or 331564 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1005116526144 in words is "one trillion, five billion, one hundred sixteen million, five hundred twenty-six thousand, one hundred forty-four".