1345108221408 has 288 divisors, whose sum is σ = 4367253542400. Its totient is φ = 360191225856.

The previous prime is 1345108221403. The next prime is 1345108221439. The reversal of 1345108221408 is 8041228015431.

It is a super-2 number, since 2×1345108221408² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345108221403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19077163 + ... + 19147541.

It is an arithmetic number, because the mean of its divisors is an integer number (15164074800).

Almost surely, 2^{1345108221408} 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 1345108221408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183626771200).

1345108221408 is an abundant number, since it is smaller than the sum of its proper divisors (3022145320992).

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

1345108221408 is a wasteful number, since it uses less digits than its factorization.

1345108221408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70662 (or 70647 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 1345108221408 in words is "one trillion, three hundred forty-five billion, one hundred eight million, two hundred twenty-one thousand, four hundred eight".