18220558544496 has 800 divisors, whose sum is σ = 68069983956480. Its totient is φ = 4565756160000.

The previous prime is 18220558544479. The next prime is 18220558544527. The reversal of 18220558544496 is 69444585502281.

18220558544496 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 0 + 5 + 585 + 4 + 4 + 49 + 6 = 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 159 ways as a sum of consecutive naturals, for example, 6514320570 + ... + 6514323366.

Almost surely, 2^{18220558544496} is an apocalyptic number.

18220558544496 is a gapful number since it is divisible by the number (16) 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 18220558544496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34034991978240).

18220558544496 is an abundant number, since it is smaller than the sum of its proper divisors (49849425411984).

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

18220558544496 is a wasteful number, since it uses less digits than its factorization.

18220558544496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 18220558544496 in words is "eighteen trillion, two hundred twenty billion, five hundred fifty-eight million, five hundred forty-four thousand, four hundred ninety-six".