21143081542968 has 256 divisors, whose sum is σ = 73411049088000. Its totient is φ = 5477590310400.

The previous prime is 21143081542943. The next prime is 21143081542991. The reversal of 21143081542968 is 86924518034112.

21143081542968 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 3 + 0 + 8 + 1 + 542 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 4835878 + ... + 8103818.

It is an arithmetic number, because the mean of its divisors is an integer number (286761910500).

Almost surely, 2^{21143081542968} is an apocalyptic number.

21143081542968 is a gapful number since it is divisible by the number (28) 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 21143081542968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36705524544000).

21143081542968 is an abundant number, since it is smaller than the sum of its proper divisors (52267967545032).

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

21143081542968 is a wasteful number, since it uses less digits than its factorization.

21143081542968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268363 (or 3268353 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 21143081542968 in words is "twenty-one trillion, one hundred forty-three billion, eighty-one million, five hundred forty-two thousand, nine hundred sixty-eight".