10345142141541 has 24 divisors (see below), whose sum is σ = 14997050454360. Its totient is φ = 6871810176000.

The previous prime is 10345142141519. The next prime is 10345142141591. The reversal of 10345142141541 is 14514124154301.

10345142141541 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 51 + 4 + 21 + 41 + 541 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3601849805316 + 6743292336225 = 1897854^2 + 2596785^2 .

It is not a de Polignac number, because 10345142141541 - 2¹⁵ = 10345142108773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10345142141496 and 10345142141505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345142141591) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 45988941 + ... + 46213341.

It is an arithmetic number, because the mean of its divisors is an integer number (624877102265).

Almost surely, 2^{10345142141541} is an apocalyptic number.

It is an amenable number.

10345142141541 is a deficient number, since it is larger than the sum of its proper divisors (4651908312819).

10345142141541 is a wasteful number, since it uses less digits than its factorization.

10345142141541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242917 (or 242914 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 10345142141541 its reverse (14514124154301), we get a palindrome (24859266295842).

The spelling of 10345142141541 in words is "ten trillion, three hundred forty-five billion, one hundred forty-two million, one hundred forty-one thousand, five hundred forty-one".