21546488464512 has 128 divisors (see below), whose sum is σ = 62484679065600. Its totient is φ = 6524132336640.

The previous prime is 21546488464511. The next prime is 21546488464541.

21546488464512 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (21546488464511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3408373 + ... + 7396619.

It is an arithmetic number, because the mean of its divisors is an integer number (488161555200).

Almost surely, 2^{21546488464512} is an apocalyptic number.

21546488464512 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 21546488464512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31242339532800).

21546488464512 is an abundant number, since it is smaller than the sum of its proper divisors (40938190601088).

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

21546488464512 is a wasteful number, since it uses less digits than its factorization.

21546488464512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989554 (or 3989542 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 60.

The spelling of 21546488464512 in words is "twenty-one trillion, five hundred forty-six billion, four hundred eighty-eight million, four hundred sixty-four thousand, five hundred twelve".