113685450480 has 560 divisors, whose sum is σ = 479581608384. Its totient is φ = 24455208960.

The previous prime is 113685450427. The next prime is 113685450481. The reversal of 113685450480 is 84054586311.

113685450480 is a `hidden beast` number, since 1 + 1 + 3 + 68 + 5 + 4 + 504 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113685450481) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 6931890 + ... + 6948270.

Almost surely, 2^113685450480 is an apocalyptic number.

113685450480 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 113685450480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239790804192).

113685450480 is an abundant number, since it is smaller than the sum of its proper divisors (365896157904).

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

113685450480 is a wasteful number, since it uses less digits than its factorization.

113685450480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16436 (or 16415 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 113685450480 in words is "one hundred thirteen billion, six hundred eighty-five million, four hundred fifty thousand, four hundred eighty".