113743453824 has 1536 divisors, whose sum is σ = 471011520000. Its totient is φ = 26824089600.

The previous prime is 113743453793. The next prime is 113743453861. The reversal of 113743453824 is 428354347311.

It is a happy number.

113743453824 is a `hidden beast` number, since 1 + 13 + 74 + 34 + 538 + 2 + 4 = 666.

113743453824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (967680) is a multiple of the sum of its prime factors (140).

It is a self number, because there is not a number n which added to its sum of digits gives 113743453824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1864646754 + ... + 1864646814.

It is an arithmetic number, because the mean of its divisors is an integer number (306648125).

Almost surely, 2^113743453824 is an apocalyptic number.

113743453824 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 113743453824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235505760000).

113743453824 is an abundant number, since it is smaller than the sum of its proper divisors (357268066176).

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

113743453824 is a wasteful number, since it uses less digits than its factorization.

113743453824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 97 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 113743453824 in words is "one hundred thirteen billion, seven hundred forty-three million, four hundred fifty-three thousand, eight hundred twenty-four".