1141624363012 has 72 divisors (see below), whose sum is σ = 2370188845080. Its totient is φ = 479602851840.

The previous prime is 1141624363007. The next prime is 1141624363021. The reversal of 1141624363012 is 2103634261411.

It can be written as a sum of positive squares in 4 ways, for example, as 4769856 + 1141619593156 = 2184^2 + 1068466^2 .

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, 3340164 + ... + 3666052.

It is an arithmetic number, because the mean of its divisors is an integer number (32919289515).

Almost surely, 2^{1141624363012} 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 1141624363012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185094422540).

1141624363012 is an abundant number, since it is smaller than the sum of its proper divisors (1228564482068).

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

1141624363012 is a wasteful number, since it uses less digits than its factorization.

1141624363012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326261 (or 326252 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 1141624363012 in words is "one trillion, one hundred forty-one billion, six hundred twenty-four million, three hundred sixty-three thousand, twelve".