10355312508468 has 12 divisors (see below), whose sum is σ = 24162395853120. Its totient is φ = 3451770836152.

The previous prime is 10355312508413. The next prime is 10355312508469. The reversal of 10355312508468 is 86480521355301.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×10355312508468³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10355312508468.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10355312508469) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 431471354508 + ... + 431471354531.

It is an arithmetic number, because the mean of its divisors is an integer number (2013532987760).

Almost surely, 2^{10355312508468} is an apocalyptic number.

It is an amenable number.

10355312508468 is an abundant number, since it is smaller than the sum of its proper divisors (13807083344652).

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

10355312508468 is a wasteful number, since it uses less digits than its factorization.

10355312508468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862942709046 (or 862942709044 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 10355312508468 in words is "ten trillion, three hundred fifty-five billion, three hundred twelve million, five hundred eight thousand, four hundred sixty-eight".