10345544113344 has 672 divisors, whose sum is σ = 32246869906944. Its totient is φ = 2902083502080.

The previous prime is 10345544113343. The next prime is 10345544113351. The reversal of 10345544113344 is 44331144554301.

It is a super-2 number, since 2×10345544113344² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10345544113296 and 10345544113305.

It is not an unprimeable number, because it can be changed into a prime (10345544113343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11663521669 + ... + 11663522555.

It is an arithmetic number, because the mean of its divisors is an integer number (47986413552).

Almost surely, 2^{10345544113344} 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 10345544113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16123434953472).

10345544113344 is an abundant number, since it is smaller than the sum of its proper divisors (21901325793600).

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

10345544113344 is a wasteful number, since it uses less digits than its factorization.

10345544113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 10345544113344 its reverse (44331144554301), we get a palindrome (54676688667645).

The spelling of 10345544113344 in words is "ten trillion, three hundred forty-five billion, five hundred forty-four million, one hundred thirteen thousand, three hundred forty-four".