18262121472 has 528 divisors, whose sum is σ = 64990448640. Its totient is φ = 4822695936.

The previous prime is 18262121467. The next prime is 18262121503. The reversal of 18262121472 is 27412126281.

18262121472 is a `hidden beast` number, since 1 + 8 + 2 + 62 + 121 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

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, 57609058 + ... + 57609374.

Almost surely, 2^18262121472 is an apocalyptic number.

18262121472 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 18262121472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32495224320).

18262121472 is an abundant number, since it is smaller than the sum of its proper divisors (46728327168).

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

18262121472 is a wasteful number, since it uses less digits than its factorization.

18262121472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 395 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The spelling of 18262121472 in words is "eighteen billion, two hundred sixty-two million, one hundred twenty-one thousand, four hundred seventy-two".