113465664 has 112 divisors (see below), whose sum is σ = 359298240. Its totient is φ = 34905600.

The previous prime is 113465659. The next prime is 113465669. The reversal of 113465664 is 466564311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113465659) and next prime (113465669).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (113465669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19939 + ... + 24989.

It is an arithmetic number, because the mean of its divisors is an integer number (3208020).

Almost surely, 2^113465664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179649120).

113465664 is an abundant number, since it is smaller than the sum of its proper divisors (245832576).

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

113465664 is a wasteful number, since it uses less digits than its factorization.

113465664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5069 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 113465664 is about 10652.0262861110. The cubic root of 113465664 is about 484.1220009822.

The spelling of 113465664 in words is "one hundred thirteen million, four hundred sixty-five thousand, six hundred sixty-four".