10365006112344 has 160 divisors (see below), whose sum is σ = 31269485016000. Its totient is φ = 3188756325888.

The previous prime is 10365006112337. The next prime is 10365006112369. The reversal of 10365006112344 is 44321160056301.

10365006112344 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 5 + 0 + 0 + 611 + 2 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10365006112299 and 10365006112308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58534212 + ... + 58711020.

It is an arithmetic number, because the mean of its divisors is an integer number (195434281350).

Almost surely, 2^{10365006112344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10365006112344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15634742508000).

10365006112344 is an abundant number, since it is smaller than the sum of its proper divisors (20904478903656).

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

10365006112344 is a wasteful number, since it uses less digits than its factorization.

10365006112344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183799 (or 183786 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 10365006112344 its reverse (44321160056301), we get a palindrome (54686166168645).

The spelling of 10365006112344 in words is "ten trillion, three hundred sixty-five billion, six million, one hundred twelve thousand, three hundred forty-four".