45663416100 has 243 divisors, whose sum is σ = 152407817107. Its totient is φ = 11433269760.

The previous prime is 45663416069. The next prime is 45663416101. The reversal of 45663416100 is 161436654.

It is a happy number.

The square root of 45663416100 is 213690.

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

45663416100 is a `hidden beast` number, since 4 + 5 + 6 + 6 + 34 + 1 + 610 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1068113124 + 44595302976 = 32682^2 + 211176^2 .

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 (45663416101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 108981691 + ... + 108982109.

Almost surely, 2^45663416100 is an apocalyptic number.

45663416100 is the 213690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45663416100

45663416100 is an abundant number, since it is smaller than the sum of its proper divisors (106744401007).

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

45663416100 is a wasteful number, since it uses less digits than its factorization.

45663416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 45663416100 by its sum of digits (36), we get a square (1643882979600 = 1282140²).

45663416100 divided by its sum of digits (36) gives a square (1268428225 = 35615²).

The spelling of 45663416100 in words is "forty-five billion, six hundred sixty-three million, four hundred sixteen thousand, one hundred".