10344023665304 has 32 divisors (see below), whose sum is σ = 23469633528480. Its totient is φ = 4172379293184.

The previous prime is 10344023665247. The next prime is 10344023665307. The reversal of 10344023665304 is 40356632044301.

10344023665304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10344023665304² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344023665307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5432784587 + ... + 5432786490.

It is an arithmetic number, because the mean of its divisors is an integer number (733426047765).

Almost surely, 2^{10344023665304} is an apocalyptic number.

10344023665304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10344023665304 is an abundant number, since it is smaller than the sum of its proper divisors (13125609863176).

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

10344023665304 is a wasteful number, since it uses less digits than its factorization.

10344023665304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10865571107 (or 10865571103 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 41.

The spelling of 10344023665304 in words is "ten trillion, three hundred forty-four billion, twenty-three million, six hundred sixty-five thousand, three hundred four".