1346903838720 has 832 divisors, whose sum is σ = 5291726745600. Its totient is φ = 322273935360.

The previous prime is 1346903838713. The next prime is 1346903838727. The reversal of 1346903838720 is 278383096431.

1346903838720 is a `hidden beast` number, since 1 + 3 + 469 + 0 + 3 + 83 + 87 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1346903838713) and next prime (1346903838727).

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 (1346903838727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480520839 + ... + 480523641.

Almost surely, 2^{1346903838720} is an apocalyptic number.

1346903838720 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 1346903838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645863372800).

1346903838720 is an abundant number, since it is smaller than the sum of its proper divisors (3944822906880).

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

1346903838720 is a wasteful number, since it uses less digits than its factorization.

1346903838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1346903838720 in words is "one trillion, three hundred forty-six billion, nine hundred three million, eight hundred thirty-eight thousand, seven hundred twenty".