11430266612544 has 672 divisors, whose sum is σ = 38411518279680. Its totient is φ = 3345757747200.

The previous prime is 11430266612537. The next prime is 11430266612551. The reversal of 11430266612544 is 44521666203411.

It is an interprime number because it is at equal distance from previous prime (11430266612537) and next prime (11430266612551).

It is a self number, because there is not a number n which added to its sum of digits gives 11430266612544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369764449 + ... + 369795359.

It is an arithmetic number, because the mean of its divisors is an integer number (57159997440).

Almost surely, 2^{11430266612544} 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 11430266612544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19205759139840).

11430266612544 is an abundant number, since it is smaller than the sum of its proper divisors (26981251667136).

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

11430266612544 is a wasteful number, since it uses less digits than its factorization.

11430266612544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31041 (or 31019 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 11430266612544 in words is "eleven trillion, four hundred thirty billion, two hundred sixty-six million, six hundred twelve thousand, five hundred forty-four".