5664923612100 has 81 divisors (see below), whose sum is σ = 17756612156647. Its totient is φ = 1510627255680.

The previous prime is 5664923612081. The next prime is 5664923612107. The reversal of 5664923612100 is 12163294665.

The square root of 5664923612100 is 2380110.

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

5664923612100 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 9 + 23 + 612 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1803321322884 + 3861602289216 = 1342878^2 + 1965096^2 .

It is a super-2 number, since 2×5664923612100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5664923612107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71363632 + ... + 71442968.

Almost surely, 2^{5664923612100} is an apocalyptic number.

5664923612100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5664923612100 is the 2380110-th square number.

It is an amenable number.

5664923612100 is an abundant number, since it is smaller than the sum of its proper divisors (12091688544547).

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

5664923612100 is an frugal number, since it uses more digits than its factorization.

5664923612100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158694 (or 79347 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 5664923612100 in words is "five trillion, six hundred sixty-four billion, nine hundred twenty-three million, six hundred twelve thousand, one hundred".