18420663124900 has 81 divisors (see below), whose sum is σ = 40468067831233. Its totient is φ = 7278083216800.

The previous prime is 18420663124807. The next prime is 18420663124931. The reversal of 18420663124900 is 942136602481.

The square root of 18420663124900 is 4291930.

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., 6631438724964 + 11789224399936 = 2575158^2 + 3433544^2 .

It is a super-2 number, since 2×18420663124900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3562299315 + ... + 3562304485.

Almost surely, 2^{18420663124900} is an apocalyptic number.

18420663124900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18420663124900 is the 4291930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18420663124900

18420663124900 is an abundant number, since it is smaller than the sum of its proper divisors (22047404706333).

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

18420663124900 is an frugal number, since it uses more digits than its factorization.

18420663124900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10522 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 18420663124900 in words is "eighteen trillion, four hundred twenty billion, six hundred sixty-three million, one hundred twenty-four thousand, nine hundred".