4193113135365 has 384 divisors, whose sum is σ = 10346271989760. Its totient is φ = 1568762173440.

The previous prime is 4193113135339. The next prime is 4193113135397. The reversal of 4193113135365 is 5635313113914.

4193113135365 is a `hidden beast` number, since 4 + 1 + 93 + 1 + 13 + 13 + 536 + 5 = 666.

It is not a de Polignac number, because 4193113135365 - 2⁶ = 4193113135301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4193113135365.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 44662002 + ... + 44755788.

It is an arithmetic number, because the mean of its divisors is an integer number (26943416640).

Almost surely, 2^{4193113135365} is an apocalyptic number.

4193113135365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4193113135365 is an abundant number, since it is smaller than the sum of its proper divisors (6153158854395).

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

4193113135365 is a wasteful number, since it uses less digits than its factorization.

4193113135365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93870 (or 93853 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The spelling of 4193113135365 in words is "four trillion, one hundred ninety-three billion, one hundred thirteen million, one hundred thirty-five thousand, three hundred sixty-five".