10240305054345 has 24 divisors (see below), whose sum is σ = 17852462466696. Its totient is φ = 5429926683648.

The previous prime is 10240305054341. The next prime is 10240305054349. The reversal of 10240305054345 is 54345050304201.

10240305054345 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 305 + 0 + 5 + 4 + 345 = 666.

It is an interprime number because it is at equal distance from previous prime (10240305054341) and next prime (10240305054349).

It can be written as a sum of positive squares in 4 ways, for example, as 1409975755776 + 8830329298569 = 1187424^2 + 2971587^2 .

It is not a de Polignac number, because 10240305054345 - 2² = 10240305054341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10240305054341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657686824 + ... + 657702393.

It is an arithmetic number, because the mean of its divisors is an integer number (743852602779).

Almost surely, 2^{10240305054345} is an apocalyptic number.

10240305054345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10240305054345 is a deficient number, since it is larger than the sum of its proper divisors (7612157412351).

10240305054345 is a wasteful number, since it uses less digits than its factorization.

10240305054345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315389401 (or 1315389398 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 10240305054345 its reverse (54345050304201), we get a palindrome (64585355358546).

The spelling of 10240305054345 in words is "ten trillion, two hundred forty billion, three hundred five million, fifty-four thousand, three hundred forty-five".