11342589646080 has 1152 divisors, whose sum is σ = 46457052364800. Its totient is φ = 2290010849280.

The previous prime is 11342589646009. The next prime is 11342589646103. The reversal of 11342589646080 is 8064698524311.

It is a super-2 number, since 2×11342589646080² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11342589646080.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2530131519 + ... + 2530136001.

It is an arithmetic number, because the mean of its divisors is an integer number (40327302400).

Almost surely, 2^{11342589646080} is an apocalyptic number.

11342589646080 is a gapful number since it is divisible by the number (10) 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 11342589646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23228526182400).

11342589646080 is an abundant number, since it is smaller than the sum of its proper divisors (35114462718720).

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

11342589646080 is a wasteful number, since it uses less digits than its factorization.

11342589646080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 11342589646080 in words is "eleven trillion, three hundred forty-two billion, five hundred eighty-nine million, six hundred forty-six thousand, eighty".