13404082176 has 273 divisors, whose sum is σ = 40797740991. Its totient is φ = 4401340416.

The previous prime is 13404082103. The next prime is 13404082193. The reversal of 13404082176 is 67128040431.

The square root of 13404082176 is 115776.

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

13404082176 is a `hidden beast` number, since 1 + 3 + 404 + 0 + 82 + 176 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13404082176.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 200060895 + ... + 200060961.

Almost surely, 2^13404082176 is an apocalyptic number.

13404082176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13404082176 is the 115776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13404082176

13404082176 is an abundant number, since it is smaller than the sum of its proper divisors (27393658815).

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

13404082176 is an frugal number, since it uses more digits than its factorization.

13404082176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 13404082176 by its sum of digits (36), we get a square (482546958336 = 694656²).

13404082176 divided by its sum of digits (36) gives a square (372335616 = 19296²).

The spelling of 13404082176 in words is "thirteen billion, four hundred four million, eighty-two thousand, one hundred seventy-six".