113469696000 has 576 divisors, whose sum is σ = 433204284240. Its totient is φ = 28468838400.

The previous prime is 113469695987. The next prime is 113469696007. The reversal of 113469696000 is 696964311.

113469696000 is a `hidden beast` number, since 1 + 1 + 34 + 6 + 9 + 6 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1282212864 + 112187483136 = 35808^2 + 334944^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (113469696007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39166552 + ... + 39169448.

Almost surely, 2^113469696000 is an apocalyptic number.

113469696000 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 113469696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216602142120).

113469696000 is an abundant number, since it is smaller than the sum of its proper divisors (319734588240).

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

113469696000 is a wasteful number, since it uses less digits than its factorization.

113469696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 113469696000 in words is "one hundred thirteen billion, four hundred sixty-nine million, six hundred ninety-six thousand".