18471686536900 has 81 divisors (see below), whose sum is σ = 40464935092071. Its totient is φ = 7319031929280.

The previous prime is 18471686536889. The next prime is 18471686536903. The reversal of 18471686536900 is 963568617481.

The square root of 18471686536900 is 4297870.

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

It can be written as a sum of positive squares in 4 ways, for example, as 67723816644 + 18403962720256 = 260238^2 + 4289984^2 .

It is a super-2 number, since 2×18471686536900² (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 (18471686536903) 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, 4684676329 + ... + 4684680271.

Almost surely, 2^{18471686536900} is an apocalyptic number.

18471686536900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18471686536900 is the 4297870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18471686536900

18471686536900 is an abundant number, since it is smaller than the sum of its proper divisors (21993248555171).

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

18471686536900 is an frugal number, since it uses more digits than its factorization.

18471686536900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8118 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

The spelling of 18471686536900 in words is "eighteen trillion, four hundred seventy-one billion, six hundred eighty-six million, five hundred thirty-six thousand, nine hundred".