21734053624064 has 72 divisors (see below), whose sum is σ = 45936506970648. Its totient is φ = 10227490488320.

The previous prime is 21734053624061. The next prime is 21734053624079. The reversal of 21734053624064 is 46042635043712.

It can be written as a sum of positive squares in 4 ways, for example, as 13753654622464 + 7980399001600 = 3708592^2 + 2824960^2 .

It is not an unprimeable number, because it can be changed into a prime (21734053624061) 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 7 ways as a sum of consecutive naturals, for example, 236602784 + ... + 236694624.

It is an arithmetic number, because the mean of its divisors is an integer number (638007041259).

Almost surely, 2^{21734053624064} is an apocalyptic number.

It is an amenable number.

21734053624064 is an abundant number, since it is smaller than the sum of its proper divisors (24202453346584).

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

21734053624064 is an equidigital number, since it uses as much as digits as its factorization.

21734053624064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146251 (or 146237 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 47.

Adding to 21734053624064 its reverse (46042635043712), we get a palindrome (67776688667776).

The spelling of 21734053624064 in words is "twenty-one trillion, seven hundred thirty-four billion, fifty-three million, six hundred twenty-four thousand, sixty-four".