113534400000000 has 1872 divisors, whose sum is σ = 450504769341440. Its totient is φ = 24883200000000.

The previous prime is 113534399999959. The next prime is 113534400000037. The reversal of 113534400000000 is 4435311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1041599999946 + ... + 1041600000054.

Almost surely, 2^{113534400000000} is an apocalyptic number.

113534400000000 is a gapful number since it is divisible by the number (10) 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 113534400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225252384670720).

113534400000000 is an abundant number, since it is smaller than the sum of its proper divisors (336970369341440).

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

113534400000000 is an frugal number, since it uses more digits than its factorization.

113534400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 113534400000000 its reverse (4435311), we get a palindrome (113534404435311).

The spelling of 113534400000000 in words is "one hundred thirteen trillion, five hundred thirty-four billion, four hundred million", and thus it is an aban number.