21463805677968 has 30 divisors (see below), whose sum is σ = 60068845057494. Its totient is φ = 7154601892608.

The previous prime is 21463805677943. The next prime is 21463805677973. The reversal of 21463805677968 is 86977650836412.

21463805677968 is a `hidden beast` number, since 2 + 1 + 46 + 380 + 56 + 77 + 96 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12446445314304 + 9017360363664 = 3527952^2 + 3002892^2 .

It is a super-2 number, since 2×21463805677968² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 21463805677896 and 21463805677905.

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 5 ways as a sum of consecutive naturals, for example, 74527102905 + ... + 74527103192.

It is a 1-persistent number, because it is pandigital, but 2⋅21463805677968 = 42927611355936 is not.

Almost surely, 2^{21463805677968} is an apocalyptic number.

It is an amenable number.

21463805677968 is an abundant number, since it is smaller than the sum of its proper divisors (38605039379526).

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

21463805677968 is a wasteful number, since it uses less digits than its factorization.

21463805677968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149054206111 (or 149054206102 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 21463805677968 in words is "twenty-one trillion, four hundred sixty-three billion, eight hundred five million, six hundred seventy-seven thousand, nine hundred sixty-eight".