1005145231244 has 48 divisors (see below), whose sum is σ = 2198253555456. Its totient is φ = 390684772800.

The previous prime is 1005145231219. The next prime is 1005145231249. The reversal of 1005145231244 is 4421325415001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005145231244.

It is not an unprimeable number, because it can be changed into a prime (1005145231249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3746174 + ... + 4005509.

It is an arithmetic number, because the mean of its divisors is an integer number (45796949072).

Almost surely, 2^{1005145231244} is an apocalyptic number.

1005145231244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1005145231244 is an abundant number, since it is smaller than the sum of its proper divisors (1193108324212).

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

1005145231244 is a wasteful number, since it uses less digits than its factorization.

1005145231244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7752126 (or 7752124 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 1005145231244 in words is "one trillion, five billion, one hundred forty-five million, two hundred thirty-one thousand, two hundred forty-four".