113046578176 has 297 divisors, whose sum is σ = 280998152379. Its totient is φ = 45317615616.

The previous prime is 113046578159. The next prime is 113046578209. The reversal of 113046578176 is 671875640311.

The square root of 113046578176 is 336224.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1430969305 + ... + 1430969383.

Almost surely, 2^113046578176 is an apocalyptic number.

113046578176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113046578176 is the 336224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113046578176

113046578176 is an abundant number, since it is smaller than the sum of its proper divisors (167951574203).

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

113046578176 is an frugal number, since it uses more digits than its factorization.

113046578176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

Multiplying 113046578176 by its sum of digits (49), we get a square (5539282330624 = 2353568²).

113046578176 divided by its sum of digits (49) gives a square (2307073024 = 48032²).

The spelling of 113046578176 in words is "one hundred thirteen billion, forty-six million, five hundred seventy-eight thousand, one hundred seventy-six".