18648212688 has 480 divisors, whose sum is σ = 66694397952. Its totient is φ = 4932005760.

The previous prime is 18648212677. The next prime is 18648212729. The reversal of 18648212688 is 88621284681.

18648212688 is a `hidden beast` number, since 1 + 86 + 482 + 1 + 2 + 6 + 88 = 666.

It is a super-3 number, since 3×18648212688³ (a number of 32 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 601555233 + ... + 601555263.

Almost surely, 2^18648212688 is an apocalyptic number.

18648212688 is a gapful number since it is divisible by the number (18) 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 18648212688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33347198976).

18648212688 is an abundant number, since it is smaller than the sum of its proper divisors (48046185264).

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

18648212688 is an frugal number, since it uses more digits than its factorization.

18648212688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 66 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The spelling of 18648212688 in words is "eighteen billion, six hundred forty-eight million, two hundred twelve thousand, six hundred eighty-eight".