113442513408 has 240 divisors, whose sum is σ = 396186785280. Its totient is φ = 30505402368.

The previous prime is 113442513389. The next prime is 113442513463. The reversal of 113442513408 is 804315244311.

113442513408 is a `hidden beast` number, since 1 + 134 + 4 + 2 + 513 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444913 + ... + 651791.

It is an arithmetic number, because the mean of its divisors is an integer number (1650778272).

Almost surely, 2^113442513408 is an apocalyptic number.

113442513408 is a gapful number since it is divisible by the number (18) 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 113442513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198093392640).

113442513408 is an abundant number, since it is smaller than the sum of its proper divisors (282744271872).

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

113442513408 is a wasteful number, since it uses less digits than its factorization.

113442513408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206927 (or 206908 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 113442513408 its reverse (804315244311), we get a palindrome (917757757719).

The spelling of 113442513408 in words is "one hundred thirteen billion, four hundred forty-two million, five hundred thirteen thousand, four hundred eight".