11583105346143 has 16 divisors (see below), whose sum is σ = 17713709491200. Its totient is φ = 7472971190520.

The previous prime is 11583105346133. The next prime is 11583105346147. The reversal of 11583105346143 is 34164350138511.

11583105346143 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 3 + 10 + 534 + 61 + 43 = 666.

11583105346143 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11583105346143 - 2⁶ = 11583105346079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11583105346147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6919416933 + ... + 6919418606.

It is an arithmetic number, because the mean of its divisors is an integer number (1107106843200).

Almost surely, 2^{11583105346143} is an apocalyptic number.

11583105346143 is a deficient number, since it is larger than the sum of its proper divisors (6130604145057).

11583105346143 is a wasteful number, since it uses less digits than its factorization.

11583105346143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13838835579 (or 13838835573 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 11583105346143 in words is "eleven trillion, five hundred eighty-three billion, one hundred five million, three hundred forty-six thousand, one hundred forty-three".