21364777746312 has 1024 divisors, whose sum is σ = 82090191052800. Its totient is φ = 4443860828160.

The previous prime is 21364777746287. The next prime is 21364777746379.

21364777746312 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 287073618 + ... + 287148030.

It is an arithmetic number, because the mean of its divisors is an integer number (80166202200).

Almost surely, 2^{21364777746312} is an apocalyptic number.

21364777746312 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 21364777746312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41045095526400).

21364777746312 is an abundant number, since it is smaller than the sum of its proper divisors (60725413306488).

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

21364777746312 is a wasteful number, since it uses less digits than its factorization.

21364777746312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74526 (or 74522 counting only the distinct ones).

The product of its digits is 49787136, while the sum is 60.

The spelling of 21364777746312 in words is "twenty-one trillion, three hundred sixty-four billion, seven hundred seventy-seven million, seven hundred forty-six thousand, three hundred twelve".