18284415552 has 672 divisors, whose sum is σ = 64256716800. Its totient is φ = 5072191488.

The previous prime is 18284415551. The next prime is 18284415587. The reversal of 18284415552 is 25551448281.

18284415552 is a `hidden beast` number, since 1 + 8 + 2 + 84 + 4 + 15 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18284415498 and 18284415507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18284415551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143971713 + ... + 143971839.

Almost surely, 2^18284415552 is an apocalyptic number.

18284415552 is a gapful number since it is divisible by the number (12) 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 18284415552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32128358400).

18284415552 is an abundant number, since it is smaller than the sum of its proper divisors (45972301248).

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

18284415552 is a wasteful number, since it uses less digits than its factorization.

18284415552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 191 counting only the distinct ones).

The product of its digits is 512000, while the sum is 45.

The spelling of 18284415552 in words is "eighteen billion, two hundred eighty-four million, four hundred fifteen thousand, five hundred fifty-two".