10746342295938 has 96 divisors (see below), whose sum is σ = 25321409259120. Its totient is φ = 3280058634240.

The previous prime is 10746342295933. The next prime is 10746342295939. The reversal of 10746342295938 is 83959224364701.

10746342295938 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 6 + 34 + 2 + 2 + 9 + 593 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10029971342169 + 716370953769 = 3167013^2 + 846387^2 .

It is not an unprimeable number, because it can be changed into a prime (10746342295933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253376478 + ... + 253418886.

It is a 1-persistent number, because it is pandigital, but 2⋅10746342295938 = 21492684591876 is not.

Almost surely, 2^{10746342295938} is an apocalyptic number.

10746342295938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10746342295938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12660704629560).

10746342295938 is an abundant number, since it is smaller than the sum of its proper divisors (14575066963182).

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

10746342295938 is a wasteful number, since it uses less digits than its factorization.

10746342295938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64852 (or 64849 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 10746342295938 in words is "ten trillion, seven hundred forty-six billion, three hundred forty-two million, two hundred ninety-five thousand, nine hundred thirty-eight".