113333555664 has 240 divisors, whose sum is σ = 372799115520. Its totient is φ = 31462318080.

The previous prime is 113333555659. The next prime is 113333555693. The reversal of 113333555664 is 466555333311.

113333555664 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 3 + 35 + 556 + 64 = 666.

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 47 ways as a sum of consecutive naturals, for example, 34646349 + ... + 34649619.

It is an arithmetic number, because the mean of its divisors is an integer number (1553329648).

Almost surely, 2^113333555664 is an apocalyptic number.

113333555664 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 113333555664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186399557760).

113333555664 is an abundant number, since it is smaller than the sum of its proper divisors (259465559856).

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

113333555664 is a wasteful number, since it uses less digits than its factorization.

113333555664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4249 counting only the distinct ones).

The product of its digits is 1458000, while the sum is 45.

Adding to 113333555664 its reverse (466555333311), we get a palindrome (579888888975).

The spelling of 113333555664 in words is "one hundred thirteen billion, three hundred thirty-three million, five hundred fifty-five thousand, six hundred sixty-four".