10346334539688 has 128 divisors (see below), whose sum is σ = 32853473452800. Its totient is φ = 2955378555648.

The previous prime is 10346334539663. The next prime is 10346334539701. The reversal of 10346334539688 is 88693543364301.

10346334539688 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 6 + 3 + 34 + 539 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5421270 + ... + 7076922.

It is an arithmetic number, because the mean of its divisors is an integer number (256667761350).

Almost surely, 2^{10346334539688} is an apocalyptic number.

10346334539688 is a gapful number since it is divisible by the number (18) 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 10346334539688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426736726400).

10346334539688 is an abundant number, since it is smaller than the sum of its proper divisors (22507138913112).

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

10346334539688 is a wasteful number, since it uses less digits than its factorization.

10346334539688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659808 (or 1659798 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

It can be divided in two parts, 1034633 and 4539688, that added together give a square (5574321 = 2361²).

The spelling of 10346334539688 in words is "ten trillion, three hundred forty-six billion, three hundred thirty-four million, five hundred thirty-nine thousand, six hundred eighty-eight".