21845726136 has 256 divisors, whose sum is σ = 66978576000. Its totient is φ = 6555893760.

The previous prime is 21845726047. The next prime is 21845726137. The reversal of 21845726136 is 63162754812.

21845726136 is a `hidden beast` number, since 2 + 18 + 4 + 572 + 61 + 3 + 6 = 666.

It is a super-2 number, since 2×21845726136² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21845726091 and 21845726100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21845726137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34080376 + ... + 34081016.

Almost surely, 2^21845726136 is an apocalyptic number.

21845726136 is a gapful number since it is divisible by the number (26) 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 21845726136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33489288000).

21845726136 is an abundant number, since it is smaller than the sum of its proper divisors (45132849864).

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

21845726136 is a wasteful number, since it uses less digits than its factorization.

21845726136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 941 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 21845726136 in words is "twenty-one billion, eight hundred forty-five million, seven hundred twenty-six thousand, one hundred thirty-six".