18286353348480 has 4096 divisors, whose sum is σ = 84708163584000. Its totient is φ = 3634420285440.

The previous prime is 18286353348467. The next prime is 18286353348503. The reversal of 18286353348480 is 8484335368281.

18286353348480 is a `hidden beast` number, since 1 + 8 + 2 + 8 + 63 + 53 + 3 + 48 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 143987034177 + ... + 143987034303.

It is an arithmetic number, because the mean of its divisors is an integer number (20680704000).

Almost surely, 2^{18286353348480} is an apocalyptic number.

18286353348480 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 18286353348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42354081792000).

18286353348480 is an abundant number, since it is smaller than the sum of its proper divisors (66421810235520).

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

18286353348480 is a wasteful number, since it uses less digits than its factorization.

18286353348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 18286353348480 in words is "eighteen trillion, two hundred eighty-six billion, three hundred fifty-three million, three hundred forty-eight thousand, four hundred eighty".