18284980752 has 240 divisors, whose sum is σ = 55130400000. Its totient is φ = 5640005376.

The previous prime is 18284980739. The next prime is 18284980799. The reversal of 18284980752 is 25708948281.

18284980752 is a `hidden beast` number, since 1 + 82 + 8 + 498 + 0 + 75 + 2 = 666.

It is a super-2 number, since 2×18284980752² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36642999 + ... + 36643497.

It is an arithmetic number, because the mean of its divisors is an integer number (229710000).

Almost surely, 2^18284980752 is an apocalyptic number.

18284980752 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 18284980752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27565200000).

18284980752 is an abundant number, since it is smaller than the sum of its proper divisors (36845419248).

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

18284980752 is a wasteful number, since it uses less digits than its factorization.

18284980752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 18284980752 in words is "eighteen billion, two hundred eighty-four million, nine hundred eighty thousand, seven hundred fifty-two".