11261620665344 has 352 divisors, whose sum is σ = 27979472885760. Its totient is φ = 4420275535872.

The previous prime is 11261620665343. The next prime is 11261620665403. The reversal of 11261620665344 is 44356602616211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11261620665343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1451422937 + ... + 1451430695.

It is an arithmetic number, because the mean of its divisors is an integer number (79487138880).

Almost surely, 2^{11261620665344} is an apocalyptic number.

11261620665344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11261620665344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13989736442880).

11261620665344 is an abundant number, since it is smaller than the sum of its proper divisors (16717852220416).

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

11261620665344 is a wasteful number, since it uses less digits than its factorization.

11261620665344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8123 (or 8105 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 11261620665344 in words is "eleven trillion, two hundred sixty-one billion, six hundred twenty million, six hundred sixty-five thousand, three hundred forty-four".