1346666840064 has 1440 divisors, whose sum is σ = 5145939388800. Its totient is φ = 349145137152.

The previous prime is 1346666840053. The next prime is 1346666840083. The reversal of 1346666840064 is 4600486666431.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 22824861667 + ... + 22824861725.

It is an arithmetic number, because the mean of its divisors is an integer number (3573569020).

Almost surely, 2^{1346666840064} is an apocalyptic number.

1346666840064 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 1346666840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572969694400).

1346666840064 is an abundant number, since it is smaller than the sum of its proper divisors (3799272548736).

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

1346666840064 is an frugal number, since it uses more digits than its factorization.

1346666840064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 1346666840064 in words is "one trillion, three hundred forty-six billion, six hundred sixty-six million, eight hundred forty thousand, sixty-four".