11345354135073 has 80 divisors (see below), whose sum is σ = 19425111552000. Its totient is φ = 6464352010464.

The previous prime is 11345354135023. The next prime is 11345354135149. The reversal of 11345354135073 is 37053145354311.

11345354135073 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 5 + 3 + 541 + 35 + 0 + 73 = 666.

It is not a de Polignac number, because 11345354135073 - 2¹³ = 11345354126881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11345354135023) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 287211678 + ... + 287251176.

It is an arithmetic number, because the mean of its divisors is an integer number (242813894400).

Almost surely, 2^{11345354135073} is an apocalyptic number.

It is an amenable number.

11345354135073 is a deficient number, since it is larger than the sum of its proper divisors (8079757416927).

11345354135073 is an equidigital number, since it uses as much as digits as its factorization.

11345354135073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40968 (or 40959 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

Adding to 11345354135073 its reverse (37053145354311), we get a palindrome (48398499489384).

The spelling of 11345354135073 in words is "eleven trillion, three hundred forty-five billion, three hundred fifty-four million, one hundred thirty-five thousand, seventy-three".