22135950648 has 256 divisors, whose sum is σ = 75003494400. Its totient is φ = 5904783360.

The previous prime is 22135950643. The next prime is 22135950649. The reversal of 22135950648 is 84605953122.

22135950648 is a `hidden beast` number, since 2 + 2 + 13 + 595 + 0 + 6 + 48 = 666.

It is a super-2 number, since 2×22135950648² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22135950643) 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 63 ways as a sum of consecutive naturals, for example, 3261018 + ... + 3267798.

It is an arithmetic number, because the mean of its divisors is an integer number (292982400).

Almost surely, 2^22135950648 is an apocalyptic number.

22135950648 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 22135950648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37501747200).

22135950648 is an abundant number, since it is smaller than the sum of its proper divisors (52867543752).

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

22135950648 is a wasteful number, since it uses less digits than its factorization.

22135950648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 22135950648 in words is "twenty-two billion, one hundred thirty-five million, nine hundred fifty thousand, six hundred forty-eight".