1346343837696 has 1512 divisors, whose sum is σ = 4976348045760. Its totient is φ = 349187604480.

The previous prime is 1346343837659. The next prime is 1346343837697. The reversal of 1346343837696 is 6967383436431.

1346343837696 is a `hidden beast` number, since 1 + 3 + 46 + 3 + 438 + 3 + 76 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (1346343837697) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 28645613545 + ... + 28645613591.

It is an arithmetic number, because the mean of its divisors is an integer number (3291235480).

Almost surely, 2^{1346343837696} is an apocalyptic number.

1346343837696 is a gapful number since it is divisible by the number (16) 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 1346343837696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488174022880).

1346343837696 is an abundant number, since it is smaller than the sum of its proper divisors (3630004208064).

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

1346343837696 is a wasteful number, since it uses less digits than its factorization.

1346343837696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 95 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 63.

The spelling of 1346343837696 in words is "one trillion, three hundred forty-six billion, three hundred forty-three million, eight hundred thirty-seven thousand, six hundred ninety-six".