18661003546000 has 80 divisors (see below), whose sum is σ = 45130668671088. Its totient is φ = 7463018112000.

The previous prime is 18661003545983. The next prime is 18661003546051. The reversal of 18661003546000 is 64530016681.

It can be written as a sum of positive squares in 8 ways, for example, as 6596329262224 + 12064674283776 = 2568332^2 + 3473424^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9964140 + ... + 11687860.

Almost surely, 2^{18661003546000} is an apocalyptic number.

18661003546000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18661003546000 is an abundant number, since it is smaller than the sum of its proper divisors (26469665125088).

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

18661003546000 is a wasteful number, since it uses less digits than its factorization.

18661003546000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729157 (or 1729141 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 18661003546000 in words is "eighteen trillion, six hundred sixty-one billion, three million, five hundred forty-six thousand".