18536164234560 has 2240 divisors, whose sum is σ = 79893089058816. Its totient is φ = 3990767616000.

The previous prime is 18536164234547. The next prime is 18536164234573. The reversal of 18536164234560 is 6543246163581.

18536164234560 is a `hidden beast` number, since 1 + 8 + 5 + 3 + 6 + 1 + 6 + 42 + 34 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (18536164234547) and next prime (18536164234573).

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a junction number, because it is equal to n+sod(n) for n = 18536164234497 and 18536164234506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 38061938637 + ... + 38061939123.

Almost surely, 2^{18536164234560} is an apocalyptic number.

18536164234560 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 18536164234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39946544529408).

18536164234560 is an abundant number, since it is smaller than the sum of its proper divisors (61356924824256).

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

18536164234560 is a wasteful number, since it uses less digits than its factorization.

18536164234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 18536164234560 in words is "eighteen trillion, five hundred thirty-six billion, one hundred sixty-four million, two hundred thirty-four thousand, five hundred sixty".