13630095504 has 315 divisors, whose sum is σ = 42290083843. Its totient is φ = 4253363136.

The previous prime is 13630095461. The next prime is 13630095509. The reversal of 13630095504 is 40559003631.

The square root of 13630095504 is 116748.

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

13630095504 is a `hidden beast` number, since 1 + 3 + 63 + 0 + 0 + 95 + 504 = 666.

It is a super-2 number, since 2×13630095504² (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13630095509) 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 62 ways as a sum of consecutive naturals, for example, 290002009 + ... + 290002055.

Almost surely, 2^13630095504 is an apocalyptic number.

13630095504 is the 116748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13630095504

13630095504 is an abundant number, since it is smaller than the sum of its proper divisors (28659988339).

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

13630095504 is an frugal number, since it uses more digits than its factorization.

13630095504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Multiplying 13630095504 by its sum of digits (36), we get a square (490683438144 = 700488²).

13630095504 divided by its sum of digits (36) gives a square (378613764 = 19458²).

The spelling of 13630095504 in words is "thirteen billion, six hundred thirty million, ninety-five thousand, five hundred four".