21694696036416 has 252 divisors, whose sum is σ = 69829167490992. Its totient is φ = 6675290279424.

The previous prime is 21694696036367. The next prime is 21694696036441. The reversal of 21694696036416 is 61463069649612.

21694696036416 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 4 + 6 + 9 + 603 + 6 + 4 + 16 = 666.

It is a super-2 number, since 2×21694696036416² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1498866 + ... + 6755441.

It is an arithmetic number, because the mean of its divisors is an integer number (277099870996).

Almost surely, 2^{21694696036416} is an apocalyptic number.

21694696036416 is a gapful number since it is divisible by the number (26) 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 21694696036416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34914583745496).

21694696036416 is an abundant number, since it is smaller than the sum of its proper divisors (48134471454576).

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

21694696036416 is an equidigital number, since it uses as much as digits as its factorization.

21694696036416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254360 (or 8254325 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 21694696036416 in words is "twenty-one trillion, six hundred ninety-four billion, six hundred ninety-six million, thirty-six thousand, four hundred sixteen".