10344385388736 has 112 divisors (see below), whose sum is σ = 34754945658880. Its totient is φ = 2955538679040.

The previous prime is 10344385388717. The next prime is 10344385388803. The reversal of 10344385388736 is 63788358344301.

10344385388736 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 438 + 53 + 88 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 427583200 + ... + 427607391.

Almost surely, 2^{10344385388736} is an apocalyptic number.

10344385388736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10344385388736 is an abundant number, since it is smaller than the sum of its proper divisors (24410560270144).

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

10344385388736 is an equidigital number, since it uses as much as digits as its factorization.

10344385388736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855190619 (or 855190603 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 10344385388736 in words is "ten trillion, three hundred forty-four billion, three hundred eighty-five million, three hundred eighty-eight thousand, seven hundred thirty-six".