10344351343000 has 64 divisors (see below), whose sum is σ = 24986613899520. Its totient is φ = 4004265024000.

The previous prime is 10344351342971. The next prime is 10344351343013. The reversal of 10344351343000 is 34315344301.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166813377 + ... + 166875376.

It is an arithmetic number, because the mean of its divisors is an integer number (390415842180).

Almost surely, 2^{10344351343000} is an apocalyptic number.

10344351343000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344351343000 is an abundant number, since it is smaller than the sum of its proper divisors (14642262556520).

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

10344351343000 is a wasteful number, since it uses less digits than its factorization.

10344351343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333688805 (or 333688791 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 10344351343000 its reverse (34315344301), we get a palindrome (10378666687301).

The spelling of 10344351343000 in words is "ten trillion, three hundred forty-four billion, three hundred fifty-one million, three hundred forty-three thousand".