21864369744 has 160 divisors (see below), whose sum is σ = 73663261440. Its totient is φ = 6078094848.

The previous prime is 21864369727. The next prime is 21864369767. The reversal of 21864369744 is 44796346812.

21864369744 is a `hidden beast` number, since 2 + 1 + 86 + 436 + 97 + 44 = 666.

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 31 ways as a sum of consecutive naturals, for example, 14182 + ... + 209594.

It is an arithmetic number, because the mean of its divisors is an integer number (460395384).

Almost surely, 2^21864369744 is an apocalyptic number.

21864369744 is a gapful number since it is divisible by the number (24) 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 21864369744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36831630720).

21864369744 is an abundant number, since it is smaller than the sum of its proper divisors (51798891696).

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

21864369744 is a wasteful number, since it uses less digits than its factorization.

21864369744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195474 (or 195462 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 21864369744 in words is "twenty-one billion, eight hundred sixty-four million, three hundred sixty-nine thousand, seven hundred forty-four".