10633664464900 has 81 divisors (see below), whose sum is σ = 23477031019029. Its totient is φ = 4180616609760.

The previous prime is 10633664464861. The next prime is 10633664464909. The reversal of 10633664464900 is 946446633601.

The square root of 10633664464900 is 3260930.

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

It can be written as a sum of positive squares in only one way, i.e., 3828119207364 + 6805545257536 = 1956558^2 + 2608744^2 .

It is a super-2 number, since 2×10633664464900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10633664464909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1923945937 + ... + 1923951463.

Almost surely, 2^{10633664464900} is an apocalyptic number.

10633664464900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10633664464900 is the 3260930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10633664464900

10633664464900 is an abundant number, since it is smaller than the sum of its proper divisors (12843366554129).

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

10633664464900 is an frugal number, since it uses more digits than its factorization.

10633664464900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11186 (or 5593 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 52.

The spelling of 10633664464900 in words is "ten trillion, six hundred thirty-three billion, six hundred sixty-four million, four hundred sixty-four thousand, nine hundred".