10644188097408 has 512 divisors, whose sum is σ = 29960699904000. Its totient is φ = 3344069836800.

The previous prime is 10644188097391. The next prime is 10644188097419. The reversal of 10644188097408 is 80479088144601.

It is a super-2 number, since 2×10644188097408² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32157667803 + ... + 32157668133.

It is an arithmetic number, because the mean of its divisors is an integer number (58516992000).

Almost surely, 2^{10644188097408} 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 10644188097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14980349952000).

10644188097408 is an abundant number, since it is smaller than the sum of its proper divisors (19316511806592).

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

10644188097408 is a wasteful number, since it uses less digits than its factorization.

10644188097408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 60.

The spelling of 10644188097408 in words is "ten trillion, six hundred forty-four billion, one hundred eighty-eight million, ninety-seven thousand, four hundred eight".