10344048381351 has 32 divisors (see below), whose sum is σ = 15512600376000. Its totient is φ = 6811905755520.

The previous prime is 10344048381347. The next prime is 10344048381367. The reversal of 10344048381351 is 15318384044301.

10344048381351 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 40 + 483 + 81 + 3 + 51 = 666.

It is not a de Polignac number, because 10344048381351 - 2² = 10344048381347 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10344048381297 and 10344048381306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344048381301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6374676 + ... + 7831001.

It is an arithmetic number, because the mean of its divisors is an integer number (484768761750).

Almost surely, 2^{10344048381351} is an apocalyptic number.

10344048381351 is a deficient number, since it is larger than the sum of its proper divisors (5168551994649).

10344048381351 is a wasteful number, since it uses less digits than its factorization.

10344048381351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14206016 (or 14206010 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 10344048381351 in words is "ten trillion, three hundred forty-four billion, forty-eight million, three hundred eighty-one thousand, three hundred fifty-one".