21442697136 has 300 divisors, whose sum is σ = 72631700232. Its totient is φ = 6123817728.

The previous prime is 21442697113. The next prime is 21442697137. The reversal of 21442697136 is 63179624412.

21442697136 is a `hidden beast` number, since 2 + 1 + 4 + 426 + 97 + 136 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21442697091 and 21442697100.

It is not an unprimeable number, because it can be changed into a prime (21442697137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9333940 + ... + 9336236.

Almost surely, 2^21442697136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21442697136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36315850116).

21442697136 is an abundant number, since it is smaller than the sum of its proper divisors (51189003096).

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

21442697136 is an frugal number, since it uses more digits than its factorization.

21442697136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2309 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 21442697136 in words is "twenty-one billion, four hundred forty-two million, six hundred ninety-seven thousand, one hundred thirty-six".