21995709347136 has 224 divisors, whose sum is σ = 68083669857280. Its totient is φ = 6135986110464.

The previous prime is 21995709347077. The next prime is 21995709347147. The reversal of 21995709347136 is 63174390759912.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×21995709347136² (a number of 27 digits) contains 22 as substring.

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, 153597360 + ... + 153740496.

It is an arithmetic number, because the mean of its divisors is an integer number (303944954720).

Almost surely, 2^{21995709347136} 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 21995709347136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34041834928640).

21995709347136 is an abundant number, since it is smaller than the sum of its proper divisors (46087960510144).

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

21995709347136 is a wasteful number, since it uses less digits than its factorization.

21995709347136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145861 (or 145851 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 66.

The spelling of 21995709347136 in words is "twenty-one trillion, nine hundred ninety-five billion, seven hundred nine million, three hundred forty-seven thousand, one hundred thirty-six".