1346855796000 has 1536 divisors, whose sum is σ = 5917820912640. Its totient is φ = 293124096000.

The previous prime is 1346855795951. The next prime is 1346855796007. The reversal of 1346855796000 is 6975586431.

1346855796000 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 8 + 5 + 579 + 60 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1346855796007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 571426822 + ... + 571429178.

It is an arithmetic number, because the mean of its divisors is an integer number (3852747990).

Almost surely, 2^{1346855796000} is an apocalyptic number.

1346855796000 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 1346855796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958910456320).

1346855796000 is an abundant number, since it is smaller than the sum of its proper divisors (4570965116640).

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

1346855796000 is a wasteful number, since it uses less digits than its factorization.

1346855796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1346855796000 in words is "one trillion, three hundred forty-six billion, eight hundred fifty-five million, seven hundred ninety-six thousand".