7261146341412 has 96 divisors (see below), whose sum is σ = 17905865134080. Its totient is φ = 2285489606400.

The previous prime is 7261146341411. The next prime is 7261146341413. The reversal of 7261146341412 is 2141436411627.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7261146341411) and next prime (7261146341413).

It is not an unprimeable number, because it can be changed into a prime (7261146341411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165753912 + ... + 165797712.

It is an arithmetic number, because the mean of its divisors is an integer number (186519428480).

Almost surely, 2^{7261146341412} 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 7261146341412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8952932567040).

7261146341412 is an abundant number, since it is smaller than the sum of its proper divisors (10644718792668).

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

7261146341412 is a wasteful number, since it uses less digits than its factorization.

7261146341412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51513 (or 51511 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The spelling of 7261146341412 in words is "seven trillion, two hundred sixty-one billion, one hundred forty-six million, three hundred forty-one thousand, four hundred twelve".