113545235066004 has 144 divisors (see below), whose sum is σ = 333774550811520. Its totient is φ = 31873526334720.

The previous prime is 113545235065991. The next prime is 113545235066023. The reversal of 113545235066004 is 400660532545311.

It is a happy number.

113545235066004 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 4 + 5 + 2 + 35 + 0 + 6 + 600 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9390862 + ... + 17756090.

It is an arithmetic number, because the mean of its divisors is an integer number (2317878825080).

Almost surely, 2^{113545235066004} is an apocalyptic number.

113545235066004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113545235066004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166887275405760).

113545235066004 is an abundant number, since it is smaller than the sum of its proper divisors (220229315745516).

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

113545235066004 is a wasteful number, since it uses less digits than its factorization.

113545235066004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366190 (or 8366185 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 113545235066004 in words is "one hundred thirteen trillion, five hundred forty-five billion, two hundred thirty-five million, sixty-six thousand, four".