21111654434976 has 864 divisors, whose sum is σ = 76165235048448. Its totient is φ = 5422393912320.

The previous prime is 21111654434947. The next prime is 21111654434987. The reversal of 21111654434976 is 67943445611112.

21111654434976 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 1 + 6 + 544 + 3 + 4 + 97 + 6 = 666.

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 143 ways as a sum of consecutive naturals, for example, 2125828731 + ... + 2125838661.

It is an arithmetic number, because the mean of its divisors is an integer number (88154207232).

Almost surely, 2^{21111654434976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21111654434976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38082617524224).

21111654434976 is an abundant number, since it is smaller than the sum of its proper divisors (55053580613472).

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

21111654434976 is a wasteful number, since it uses less digits than its factorization.

21111654434976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10142 (or 10112 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 21111654434976 in words is "twenty-one trillion, one hundred eleven billion, six hundred fifty-four million, four hundred thirty-four thousand, nine hundred seventy-six".