21661032235344 has 240 divisors, whose sum is σ = 60190095176640. Its totient is φ = 6693829632000.

The previous prime is 21661032235343. The next prime is 21661032235369. The reversal of 21661032235344 is 44353223016612.

It is a super-2 number, since 2×21661032235344² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21661032235296 and 21661032235305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21661032235343) 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 47 ways as a sum of consecutive naturals, for example, 668513544 + ... + 668545944.

It is an arithmetic number, because the mean of its divisors is an integer number (250792063236).

Almost surely, 2^{21661032235344} is an apocalyptic number.

21661032235344 is a gapful number since it is divisible by the number (24) 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 21661032235344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30095047588320).

21661032235344 is an abundant number, since it is smaller than the sum of its proper divisors (38529062941296).

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

21661032235344 is a wasteful number, since it uses less digits than its factorization.

21661032235344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32750 (or 32683 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 21661032235344 in words is "twenty-one trillion, six hundred sixty-one billion, thirty-two million, two hundred thirty-five thousand, three hundred forty-four".