113543140535104 has 168 divisors, whose sum is σ = 264457431991368. Its totient is φ = 48223390924800.

The previous prime is 113543140535093. The next prime is 113543140535113. The reversal of 113543140535104 is 401535041345311.

It can be written as a sum of positive squares in 4 ways, for example, as 174991622400 + 113368148912704 = 418320^2 + 10647448^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2782831504 + ... + 2782872304.

It is an arithmetic number, because the mean of its divisors is an integer number (1574151380901).

Almost surely, 2^{113543140535104} is an apocalyptic number.

113543140535104 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 113543140535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132228715995684).

113543140535104 is an abundant number, since it is smaller than the sum of its proper divisors (150914291456264).

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

113543140535104 is a wasteful number, since it uses less digits than its factorization.

113543140535104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48793 (or 48776 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 113543140535104 in words is "one hundred thirteen trillion, five hundred forty-three billion, one hundred forty million, five hundred thirty-five thousand, one hundred four".