1346353114050 has 384 divisors, whose sum is σ = 4395318681600. Its totient is φ = 296505135360.

The previous prime is 1346353114033. The next prime is 1346353114069. The reversal of 1346353114050 is 504113536431.

1346353114050 is a `hidden beast` number, since 1 + 3 + 4 + 63 + 531 + 14 + 0 + 50 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1346353113996 and 1346353114014.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137842267 + ... + 137852033.

It is an arithmetic number, because the mean of its divisors is an integer number (11446142400).

Almost surely, 2^{1346353114050} is an apocalyptic number.

1346353114050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346353114050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197659340800).

1346353114050 is an abundant number, since it is smaller than the sum of its proper divisors (3048965567550).

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

1346353114050 is a wasteful number, since it uses less digits than its factorization.

1346353114050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10327 (or 10316 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1346353114050 in words is "one trillion, three hundred forty-six billion, three hundred fifty-three million, one hundred fourteen thousand, fifty".