1346145566400 has 336 divisors, whose sum is σ = 4909246874400. Its totient is φ = 358822379520.

The previous prime is 1346145566383. The next prime is 1346145566401. The reversal of 1346145566400 is 46655416431.

1346145566400 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 1 + 45 + 566 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1346145566401) 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, 136895884 + ... + 136905716.

Almost surely, 2^{1346145566400} is an apocalyptic number.

1346145566400 is a gapful number since it is divisible by the number (10) 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 1346145566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454623437200).

1346145566400 is an abundant number, since it is smaller than the sum of its proper divisors (3563101308000).

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

1346145566400 is a wasteful number, since it uses less digits than its factorization.

1346145566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13033 (or 13012 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1346145566400 in words is "one trillion, three hundred forty-six billion, one hundred forty-five million, five hundred sixty-six thousand, four hundred".