21848622768 has 240 divisors, whose sum is σ = 74129380416. Its totient is φ = 5864325120.

The previous prime is 21848622767. The next prime is 21848622769. The reversal of 21848622768 is 86722684812.

21848622768 is a `hidden beast` number, since 2 + 1 + 8 + 4 + 8 + 622 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (21848622767) and next prime (21848622769).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (21848622767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14067880 + ... + 14069432.

Almost surely, 2^21848622768 is an apocalyptic number.

21848622768 is a gapful number since it is divisible by the number (28) 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 21848622768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37064690208).

21848622768 is an abundant number, since it is smaller than the sum of its proper divisors (52280757648).

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

21848622768 is a wasteful number, since it uses less digits than its factorization.

21848622768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2403 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 21848622768 in words is "twenty-one billion, eight hundred forty-eight million, six hundred twenty-two thousand, seven hundred sixty-eight".