1345645022304 has 192 divisors, whose sum is σ = 3918563695872. Its totient is φ = 400886323200.

The previous prime is 1345645022287. The next prime is 1345645022321. The reversal of 1345645022304 is 4032205465431.

It is an interprime number because it is at equal distance from previous prime (1345645022287) and next prime (1345645022321).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174370254 + ... + 174377970.

It is an arithmetic number, because the mean of its divisors is an integer number (20409185916).

Almost surely, 2^{1345645022304} 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 1345645022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959281847936).

1345645022304 is an abundant number, since it is smaller than the sum of its proper divisors (2572918673568).

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

1345645022304 is a wasteful number, since it uses less digits than its factorization.

1345645022304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10509 (or 10501 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 1345645022304 in words is "one trillion, three hundred forty-five billion, six hundred forty-five million, twenty-two thousand, three hundred four".