21014628066432 has 3840 divisors, whose sum is σ = 91006471987200. Its totient is φ = 4646489702400.

The previous prime is 21014628066259. The next prime is 21014628066433. The reversal of 21014628066432 is 23466082641012.

21014628066432 is a `hidden beast` number, since 2 + 1 + 0 + 14 + 628 + 0 + 6 + 6 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×21014628066432² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21014628066433) 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 479 ways as a sum of consecutive naturals, for example, 266007950169 + ... + 266007950247.

It is an arithmetic number, because the mean of its divisors is an integer number (23699602080).

Almost surely, 2^{21014628066432} is an apocalyptic number.

21014628066432 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 21014628066432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45503235993600).

21014628066432 is an abundant number, since it is smaller than the sum of its proper divisors (69991843920768).

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

21014628066432 is a wasteful number, since it uses less digits than its factorization.

21014628066432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 21014628066432 in words is "twenty-one trillion, fourteen billion, six hundred twenty-eight million, sixty-six thousand, four hundred thirty-two".