10645325125344 has 1152 divisors, whose sum is σ = 39296275200000. Its totient is φ = 2658190639104.

The previous prime is 10645325125333. The next prime is 10645325125403. The reversal of 10645325125344 is 44352152354601.

10645325125344 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 53 + 251 + 2 + 5 + 344 = 666.

10645325125344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10645325125344² (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 10645325125344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17771827957 + ... + 17771828555.

It is an arithmetic number, because the mean of its divisors is an integer number (34111350000).

Almost surely, 2^{10645325125344} is an apocalyptic number.

10645325125344 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 10645325125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19648137600000).

10645325125344 is an abundant number, since it is smaller than the sum of its proper divisors (28650950074656).

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

10645325125344 is a wasteful number, since it uses less digits than its factorization.

10645325125344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 10645325125344 its reverse (44352152354601), we get a palindrome (54997477479945).

The spelling of 10645325125344 in words is "ten trillion, six hundred forty-five billion, three hundred twenty-five million, one hundred twenty-five thousand, three hundred forty-four".