1017611341012 has 72 divisors (see below), whose sum is σ = 2093163907968. Its totient is φ = 431576712000.

The previous prime is 1017611341003. The next prime is 1017611341013. The reversal of 1017611341012 is 2101431167101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1017611341013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41301937 + ... + 41326567.

It is an arithmetic number, because the mean of its divisors is an integer number (29071720944).

Almost surely, 2^{1017611341012} 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 1017611341012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046581953984).

1017611341012 is an abundant number, since it is smaller than the sum of its proper divisors (1075552566956).

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

1017611341012 is a wasteful number, since it uses less digits than its factorization.

1017611341012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26837 (or 26828 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The spelling of 1017611341012 in words is "one trillion, seventeen billion, six hundred eleven million, three hundred forty-one thousand, twelve".