6345309416544 has 384 divisors, whose sum is σ = 21340776038400. Its totient is φ = 1796713228800.

The previous prime is 6345309416521. The next prime is 6345309416659. The reversal of 6345309416544 is 4456149035436.

6345309416544 is a `hidden beast` number, since 6 + 3 + 4 + 5 + 3 + 0 + 94 + 1 + 6 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 798047769 + ... + 798055719.

It is an arithmetic number, because the mean of its divisors is an integer number (55574937600).

Almost surely, 2^{6345309416544} 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 6345309416544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10670388019200).

6345309416544 is an abundant number, since it is smaller than the sum of its proper divisors (14995466621856).

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

6345309416544 is a wasteful number, since it uses less digits than its factorization.

6345309416544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9143 (or 9129 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 6345309416544 in words is "six trillion, three hundred forty-five billion, three hundred nine million, four hundred sixteen thousand, five hundred forty-four".