113671303409664 has 4992 divisors, whose sum is σ = 509526855936000. Its totient is φ = 24300654428160.

The previous prime is 113671303409639. The next prime is 113671303409753. The reversal of 113671303409664 is 466904303176311.

113671303409664 is a `hidden beast` number, since 1 + 1 + 367 + 130 + 3 + 4 + 0 + 96 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 113671303409664.

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 383 ways as a sum of consecutive naturals, for example, 5982700179447 + ... + 5982700179465.

Almost surely, 2^{113671303409664} is an apocalyptic number.

113671303409664 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 113671303409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254763427968000).

113671303409664 is an abundant number, since it is smaller than the sum of its proper divisors (395855552526336).

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

113671303409664 is a wasteful number, since it uses less digits than its factorization.

113671303409664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 113671303409664 in words is "one hundred thirteen trillion, six hundred seventy-one billion, three hundred three million, four hundred nine thousand, six hundred sixty-four".