21662464506452 has 96 divisors (see below), whose sum is σ = 47382652477440. Its totient is φ = 8418669840000.

The previous prime is 21662464506407. The next prime is 21662464506469. The reversal of 21662464506452 is 25460546426612.

It is a junction number, because it is equal to n+sod(n) for n = 21662464506394 and 21662464506403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355669202 + ... + 355730102.

It is an arithmetic number, because the mean of its divisors is an integer number (493569296640).

Almost surely, 2^{21662464506452} is an apocalyptic number.

21662464506452 is a gapful number since it is divisible by the number (22) 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 21662464506452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23691326238720).

21662464506452 is an abundant number, since it is smaller than the sum of its proper divisors (25720187970988).

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

21662464506452 is a wasteful number, since it uses less digits than its factorization.

21662464506452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63813 (or 63811 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 53.

The spelling of 21662464506452 in words is "twenty-one trillion, six hundred sixty-two billion, four hundred sixty-four million, five hundred six thousand, four hundred fifty-two".