18690946560000 has 4160 divisors, whose sum is σ = 85290154414080. Its totient is φ = 3981312000000.

The previous prime is 18690946559983. The next prime is 18690946560001. The reversal of 18690946560000 is 6564909681.

It is a happy number.

18690946560000 is a `hidden beast` number, since 18 + 69 + 0 + 9 + 4 + 6 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18690946560001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 306408959970 + ... + 306408960030.

Almost surely, 2^{18690946560000} is an apocalyptic number.

18690946560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18690946560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42645077207040).

18690946560000 is an abundant number, since it is smaller than the sum of its proper divisors (66599207854080).

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

18690946560000 is a wasteful number, since it uses less digits than its factorization.

18690946560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 18690946560000 in words is "eighteen trillion, six hundred ninety billion, nine hundred forty-six million, five hundred sixty thousand".