113490224064 has 448 divisors, whose sum is σ = 399164129280. Its totient is φ = 30916131840.

The previous prime is 113490224017. The next prime is 113490224069. The reversal of 113490224064 is 460422094311.

113490224064 is a `hidden beast` number, since 11 + 349 + 0 + 2 + 240 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113490224069) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 139938219 + ... + 139939029.

It is an arithmetic number, because the mean of its divisors is an integer number (890991360).

Almost surely, 2^113490224064 is an apocalyptic number.

113490224064 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 113490224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199582064640).

113490224064 is an abundant number, since it is smaller than the sum of its proper divisors (285673905216).

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

113490224064 is a wasteful number, since it uses less digits than its factorization.

113490224064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 113490224064 in words is "one hundred thirteen billion, four hundred ninety million, two hundred twenty-four thousand, sixty-four".